{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T15:16:41Z","timestamp":1783696601747,"version":"3.55.0"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T00:00:00Z","timestamp":1775520000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T00:00:00Z","timestamp":1775520000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-22-1-031"],"award-info":[{"award-number":["FA9550-22-1-031"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-026-05157-6","type":"journal-article","created":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T13:46:13Z","timestamp":1775569573000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Deterministic linear-optical computing with symmetry-based qubits"],"prefix":"10.1007","volume":"25","author":[{"given":"David S.","family":"Simon","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christopher R.","family":"Schwarze","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anthony D.","family":"Manni","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Abdoulaye","family":"Ndao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alexander V.","family":"Sergienko","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,4,7]]},"reference":[{"key":"5157_CR1","unstructured":"Yamamoto, Y., Kitagawa, M., Igeta, K.: Quantum solitons in optical fibers. In: Chan, Y.W., Leung, A.F., Yang, C.N., Young, K. (eds.) Proceeding 3rd Asia-Pacific Physics Conference, pp. 779\u2013799. World Scientific, Singapore (1988)"},{"key":"5157_CR2","doi-asserted-by":"publisher","first-page":"2124","DOI":"10.1103\/PhysRevLett.62.2124","volume":"62","author":"GJ Milburn","year":"1989","unstructured":"Milburn, G.J.: Quantum optical Fredkin gate. Phys. Rev. Lett. 62, 2124 (1989). https:\/\/doi.org\/10.1103\/PhysRevLett.62.2124","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR3","doi-asserted-by":"publisher","first-page":"3489","DOI":"10.1103\/PhysRevA.52.3489","volume":"52","author":"IL Chuang","year":"1995","unstructured":"Chuang, I.L., Yamamoto, Y.: Simple quantum computer. Phys. Rev. A 52, 3489 (1995). https:\/\/doi.org\/10.1103\/PhysRevA.52.3489","journal-title":"Phys. Rev. A"},{"key":"5157_CR4","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1002\/(SICI)1521-3978(200005)48:5\/7<573::AID-PROP573>3.0.CO;2-C","volume":"48","author":"GM d\u2019Ariano","year":"2000","unstructured":"d\u2019Ariano, G.M., Macchiavello, C., Maccone, L.: Quantum computations with polarized photons. Fortschr. Phys. 48, 573\u2013577 (2000)","journal-title":"Fortschr. Phys."},{"key":"5157_CR5","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1103\/PhysRevLett.85.198","volume":"85","author":"JC Howell","year":"2000","unstructured":"Howell, J.C., Yeazell, J.A.: Quantum computation through entangling single photons in multipath interferometers. Phys. Rev. Lett. 85, 198 (2000). https:\/\/doi.org\/10.1103\/PhysRevLett.85.198","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR6","doi-asserted-by":"publisher","first-page":"1211","DOI":"10.1080\/09500340408230417","volume":"51","author":"GD Hutchinson","year":"2004","unstructured":"Hutchinson, G.D., Milburn, G.J.: Nonlinear quantum optical computing via measurement. J. Mod. Opt. 51, 1211 (2004). https:\/\/doi.org\/10.1080\/09500340408230417","journal-title":"J. Mod. Opt."},{"key":"5157_CR7","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1038\/35051009","volume":"409","author":"E Knill","year":"2001","unstructured":"Knill, E., Laflamme, R., Milburn, G.J.: A scheme for efficient quantum computation with linear optics. Nature 409, 46 (2001). https:\/\/doi.org\/10.1038\/35051009","journal-title":"Nature"},{"key":"5157_CR8","doi-asserted-by":"publisher","first-page":"062311","DOI":"10.1103\/PhysRevA.64.062311","volume":"64","author":"TB Pittman","year":"2001","unstructured":"Pittman, T.B., Jacobs, B.C., Franson, J.D.: Probabilistic quantum logic operations using polarizing beam splitters. Phys. Rev. A 64, 062311 (2001). https:\/\/doi.org\/10.1103\/PhysRevA.64.062311","journal-title":"Phys. Rev. A"},{"key":"5157_CR9","doi-asserted-by":"publisher","first-page":"062324","DOI":"10.1103\/PhysRevA.65.062324","volume":"65","author":"TC Ralph","year":"2002","unstructured":"Ralph, T.C., Langford, N.K., Bell, T.B., White, A.G.: Linear optical controlled-not gate in the coincidence basis. Phys. Rev. A 65, 062324 (2002). https:\/\/doi.org\/10.1103\/PhysRevA.65.062324","journal-title":"Phys. Rev. A"},{"key":"5157_CR10","doi-asserted-by":"publisher","first-page":"264","DOI":"10.1038\/nature02054","volume":"426","author":"JL O\u2019Brien","year":"2003","unstructured":"O\u2019Brien, J.L., Pryde, G.J., White, A.G., Ralph, T.C., Branning, D.: Demonstration of an all-optical quantum controlled-not gate. Nature 426, 264 (2003). https:\/\/doi.org\/10.1038\/nature02054","journal-title":"Nature"},{"key":"5157_CR11","doi-asserted-by":"publisher","first-page":"020504","DOI":"10.1103\/PhysRevLett.93.020504","volume":"93","author":"S Gasparoni","year":"2004","unstructured":"Gasparoni, S., Pan, J.W., Walther, P., Rudolph, T., Zeilinger, A.: Realization of a photonic controlled-not gate sufficient for quantum computation. Phys. Rev. Lett. 93, 020504 (2004). https:\/\/doi.org\/10.1103\/PhysRevLett.93.020504","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR12","doi-asserted-by":"publisher","first-page":"961","DOI":"10.1007\/s11082-023-05228-3","volume":"55","author":"S Hazra","year":"2023","unstructured":"Hazra, S., Mukhopadhyay, S.: Two-dimensional photonic crystal based optical CNOT gate. Opt. Quant. Elect. 55, 961 (2023). https:\/\/doi.org\/10.1007\/s11082-023-05228-3","journal-title":"Opt. Quant. Elect."},{"key":"5157_CR13","doi-asserted-by":"publisher","first-page":"5188","DOI":"10.1103\/PhysRevLett.86.5188","volume":"86","author":"R Raussendorf","year":"2001","unstructured":"Raussendorf, R., Briegel, H.J.: A one-way quantum computer. Phys. Rev. Lett. 86, 5188 (2001). https:\/\/doi.org\/10.1103\/PhysRevLett.86.5188","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR14","doi-asserted-by":"publisher","first-page":"037903","DOI":"10.1103\/PhysRevLett.91.037903","volume":"91","author":"N Yoran","year":"2003","unstructured":"Yoran, N., Reznik, B.: Deterministic linear optics quantum computation with single photon qubits. Phys. Rev. Lett. 91, 037903 (2003). https:\/\/doi.org\/10.1103\/PhysRevLett.91.037903","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR15","doi-asserted-by":"publisher","first-page":"040503","DOI":"10.1103\/PhysRevLett.93.040503","volume":"93","author":"MA Nielsen","year":"2004","unstructured":"Nielsen, M.A.: Quantum computation using cluster states. Phys. Rev. Lett. 93, 040503 (2004). https:\/\/doi.org\/10.1103\/PhysRevLett.93.040503","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR16","doi-asserted-by":"publisher","first-page":"010501","DOI":"10.1103\/PhysRevLett.95.010501","volume":"95","author":"DE Browne","year":"2005","unstructured":"Browne, D.E., Rudolph, T.: Resource-efficient linear optical quantum computation. Phys. Rev. Lett. 95, 010501 (2005). https:\/\/doi.org\/10.1103\/PhysRevLett.95.010501","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR17","doi-asserted-by":"publisher","first-page":"052328","DOI":"10.1103\/PhysRevA.75.052328","volume":"75","author":"A Gilchrist","year":"2007","unstructured":"Gilchrist, A., Hayes, A.J.F., Ralph, T.C.: Efficient parity-encoded optical quantum computing. Phys. Rev. A 75, 052328 (2007). https:\/\/doi.org\/10.1103\/PhysRevA.75.052328","journal-title":"Phys. Rev. A"},{"key":"5157_CR18","doi-asserted-by":"publisher","first-page":"021035","DOI":"10.1103\/PhysRevX.12.021035","volume":"12","author":"T Stolz","year":"2022","unstructured":"Stolz, T., Hegels, H., Winter, M.E.A.: Quantum-logic gate between two optical photons with an average efficiency above 40 %. Phys. Rev. X 12, 021035 (2022). https:\/\/doi.org\/10.1103\/PhysRevX.12.021035","journal-title":"Phys. Rev. X"},{"key":"5157_CR19","doi-asserted-by":"publisher","first-page":"127863","DOI":"10.1016\/j.optcom.2021.127863","volume":"509","author":"JM Lee","year":"2021","unstructured":"Lee, J.M., Lee, W.J., Kim, M.S., et al.: Controlled-not operation of sin-photonic circuit using photon pairs from silicon-photonic circuit. Opt. Comm. 509, 127863 (2021). https:\/\/doi.org\/10.1016\/j.optcom.2021.127863","journal-title":"Opt. Comm."},{"key":"5157_CR20","doi-asserted-by":"publisher","first-page":"015016","DOI":"10.1088\/2058-9565\/ad0a48","volume":"9","author":"RJ Chapman","year":"2024","unstructured":"Chapman, R.J., et al.: Quantum logical controlled-not gate in a lithium niobate-on-insulator photonic quantum walk. Quantum Sci. Technol. 9, 015016 (2024). https:\/\/doi.org\/10.1088\/2058-9565\/ad0a48","journal-title":"Quantum Sci. Technol."},{"key":"5157_CR21","doi-asserted-by":"publisher","first-page":"1342","DOI":"10.22331\/q-2024-05-13-1342","volume":"8","author":"FF Du","year":"2024","unstructured":"Du, F.F., Fan, G., Ren, X.M.: Kerr-effect-based quantum logical gates in decoherence-free subspace. Quantum 8, 1342 (2024). https:\/\/doi.org\/10.22331\/q-2024-05-13-1342","journal-title":"Quantum"},{"key":"5157_CR22","doi-asserted-by":"publisher","first-page":"2500167","DOI":"10.1002\/qute.202500167","volume":"8","author":"G Fan","year":"2025","unstructured":"Fan, G., Niu, H.Z., Tan, Q.L., Du, F.F.: A computation-enhanced high-dimensional quantum gate for silicon-vacancy spins. Adv. Quantum Technol. 8, 2500167 (2025). https:\/\/doi.org\/10.1002\/qute.202500167","journal-title":"Adv. Quantum Technol."},{"key":"5157_CR23","doi-asserted-by":"publisher","first-page":"1477","DOI":"10.1103\/PhysRevA.57.R1477","volume":"57","author":"NJ Cerf","year":"1998","unstructured":"Cerf, N.J., Adami, C., Kwiat, P.G.: Optical simulation of quantum logic. Phys. Rev. A 57, 1477 (1998). https:\/\/doi.org\/10.1103\/PhysRevA.57.R1477","journal-title":"Phys. Rev. A"},{"key":"5157_CR24","doi-asserted-by":"publisher","first-page":"052303","DOI":"10.1103\/PhysRevA.61.052303","volume":"61","author":"JC Howell","year":"2000","unstructured":"Howell, J.C., Yeazell, J.A.: Reducing the complexity of linear optics quantum circuits. Phys. Rev. A 61, 052303 (2000). https:\/\/doi.org\/10.1103\/PhysRevA.61.052303","journal-title":"Phys. Rev. A"},{"key":"5157_CR25","doi-asserted-by":"publisher","first-page":"032303","DOI":"10.1103\/PhysRevA.63.032303","volume":"63","author":"BG Englert","year":"2001","unstructured":"Englert, B.G., Kurtsiefer, C., Weinfurter, H.: Universal unitary gate for single-photon two-qubit states. Phys. Rev. A 63, 032303 (2001). https:\/\/doi.org\/10.1103\/PhysRevA.63.032303","journal-title":"Phys. Rev. A"},{"key":"5157_CR26","doi-asserted-by":"publisher","first-page":"043845","DOI":"10.1103\/PhysRevA.93.043845","volume":"93","author":"DS Simon","year":"2016","unstructured":"Simon, D.S., Fitzpatrick, C.A., Sergienko, A.V.: Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports. Phys. Rev. A 93, 043845 (2016). https:\/\/doi.org\/10.1103\/PhysRevA.93.043845","journal-title":"Phys. Rev. A"},{"key":"5157_CR27","doi-asserted-by":"publisher","first-page":"27201","DOI":"10.1364\/OE.26.027201","volume":"26","author":"S Osawa","year":"2018","unstructured":"Osawa, S., Simon, D.S., Sergienko, A.V.: Experimental demonstration of directionally-unbiased linear-optical multiport. Opt. Expr. 26, 27201 (2018). https:\/\/doi.org\/10.1364\/OE.26.027201","journal-title":"Opt. Expr."},{"key":"5157_CR28","doi-asserted-by":"publisher","first-page":"29527","DOI":"10.1364\/OE.436075","volume":"29","author":"I Kim","year":"2021","unstructured":"Kim, I., Lee, D., Hong, S., Cho, Y.W., Lee, K.J., Kim, Y.S., Lim, H.T.: Implementation of a $$3\\times 3$$ directionally-unbiased linear optical multiport. Opt. Expr. 29, 29527 (2021). https:\/\/doi.org\/10.1364\/OE.436075","journal-title":"Opt. Expr."},{"key":"5157_CR29","doi-asserted-by":"publisher","first-page":"035002","DOI":"10.1088\/1367-2630\/13\/3\/035002","volume":"13","author":"O Boada","year":"2011","unstructured":"Boada, O., Celi, A., Latorre, J.I., Lewenstein, M.: Dirac equation for cold atoms in artificial curved spacetimes. New J. Phys. 13, 035002 (2011). https:\/\/doi.org\/10.1088\/1367-2630\/13\/3\/035002","journal-title":"New J. Phys."},{"key":"5157_CR30","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1038\/s42005-024-01636-3","volume":"7","author":"J Arguuello-Luengo","year":"2024","unstructured":"Arguuello-Luengo, J., Bhattacharya, U., Celi, A.E.A.: Synthetic dimensions for topological and quantum phases. Commun. Phys. 7, 143 (2024). https:\/\/doi.org\/10.1038\/s42005-024-01636-3","journal-title":"Commun. Phys."},{"key":"5157_CR31","doi-asserted-by":"publisher","first-page":"1396","DOI":"10.1364\/OPTICA.5.001396","volume":"5","author":"L Yuan","year":"2018","unstructured":"Yuan, L., Lin, Q., Xiao, M., Fan, S.: Synthetic dimension in photonics. Optica 5, 1396 (2018). https:\/\/doi.org\/10.1364\/OPTICA.5.001396","journal-title":"Optica"},{"key":"5157_CR32","doi-asserted-by":"publisher","first-page":"043001","DOI":"10.1103\/PhysRevLett.112.043001","volume":"112","author":"A Celi","year":"2014","unstructured":"Celi, A., Massignan, P., Ruseckas, J., Goldman, N., Spielman, I.B., Juzeliunas, G., Lewenstein, M.: Synthetic gauge fields in synthetic dimensions. Phys. Rev. Lett. 112, 043001 (2014). https:\/\/doi.org\/10.1103\/PhysRevLett.112.043001","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR33","doi-asserted-by":"publisher","first-page":"972","DOI":"10.1038\/s41467-022-28550-y","volume":"13","author":"SK Kanungo","year":"2022","unstructured":"Kanungo, S.K., Whalen, J.D., Lu, Y., Yuan, M., Dasgupta, S., Dunning, F.B., Hazzard, K.R.A., Killian, T.C.: Realizing Su-Schrieffer-Heeger topological edge states in Rydberg-atom synthetic dimensions. Nat. Commun. 13, 972 (2022). https:\/\/doi.org\/10.1038\/s41467-022-28550-y","journal-title":"Nat. Commun."},{"key":"5157_CR34","doi-asserted-by":"publisher","first-page":"15429","DOI":"10.1364\/OE.24.015429","volume":"24","author":"LY He","year":"2016","unstructured":"He, L.Y., Wang, T.J., Wang, C.: Construction of high-dimensional universal quantum logic gates using a $$\\lambda $$ system coupling with a whispering gallery-mode microresonator. Opt. Express 24, 15429 (2016). https:\/\/doi.org\/10.1364\/OE.24.015429","journal-title":"Opt. Express"},{"key":"5157_CR35","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1038\/nphys1150","volume":"5","author":"BP Lanyon","year":"2009","unstructured":"Lanyon, B.P., Barbieri, M., Almeida, M.P., et al.: Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys. 5, 134 (2009). https:\/\/doi.org\/10.1038\/nphys1150","journal-title":"Nat. Phys."},{"key":"5157_CR36","doi-asserted-by":"publisher","first-page":"050501","DOI":"10.1103\/PhysRevLett.125.050501","volume":"125","author":"X Gao","year":"2020","unstructured":"Gao, X., Erhard, M., Zeilinger, A., Krenn, M.: Computer-inspired concept for higher-dimensional multipartite quantum gates. Phys. Rev. Lett. 125, 050501 (2020). https:\/\/doi.org\/10.1103\/PhysRevLett.125.050501","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR37","doi-asserted-by":"publisher","first-page":"180510","DOI":"10.1103\/PhysRevLett.119.180510","volume":"119","author":"A Babazadeh","year":"2017","unstructured":"Babazadeh, A., Erhard, M., Wang, F., et al.: High-dimensional single-photon quantum gates: concepts and experiments. Phys. Rev. Lett. 119, 180510 (2017). https:\/\/doi.org\/10.1103\/PhysRevLett.119.180510","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR38","doi-asserted-by":"publisher","first-page":"052601","DOI":"10.1103\/PhysRevA.103.052601","volume":"103","author":"NF Gong","year":"2021","unstructured":"Gong, N.F., Wang, T.J., Ghose, S.: Control power of a high-dimensional controlled nonlocal quantum computation. Phys. Rev. A 103, 052601 (2021). https:\/\/doi.org\/10.1103\/PhysRevA.103.052601","journal-title":"Phys. Rev. A"},{"key":"5157_CR39","doi-asserted-by":"publisher","first-page":"063026","DOI":"10.1088\/1367-2630\/ab8e13","volume":"22","author":"WQ Liu","year":"2020","unstructured":"Liu, W.Q., Wei, H.R.: Optimal synthesis of the Fredkin gate in a multilevel system. New J. Phys. 22, 063026 (2020). https:\/\/doi.org\/10.1088\/1367-2630\/ab8e13","journal-title":"New J. Phys."},{"key":"5157_CR40","doi-asserted-by":"publisher","first-page":"853","DOI":"10.3390\/e21090853","volume":"21","author":"S Osawa","year":"2019","unstructured":"Osawa, S., Simon, D.S., Sergienko, A.V.: Directionally-unbiased unitary optical devices in discrete-time quantum walks. Entropy 21, 853 (2019). https:\/\/doi.org\/10.3390\/e21090853","journal-title":"Entropy"},{"key":"5157_CR41","doi-asserted-by":"publisher","first-page":"111340","DOI":"10.1117\/12.2527915","volume":"11134","author":"S Osawa","year":"2019","unstructured":"Osawa, S., Simon, D.S., Sergienko, A.V.: Investigation of directional and directionally-unbiased devices in linear optics for quantum walk applications. Proc. SPIE 11134, 111340 (2019). https:\/\/doi.org\/10.1117\/12.2527915","journal-title":"Proc. SPIE"},{"key":"5157_CR42","doi-asserted-by":"publisher","first-page":"34116","DOI":"10.1364\/OE.532364","volume":"32","author":"CR Schwarze","year":"2024","unstructured":"Schwarze, C.R., Simon, D.S., Manni, A.D., Ndao, A., Sergienko, A.V.: Experimental demonstration of a Grover-Michelson interferometer. Opt. Expr. 32, 34116 (2024). https:\/\/doi.org\/10.1364\/OE.532364","journal-title":"Opt. Expr."},{"key":"5157_CR43","doi-asserted-by":"publisher","first-page":"023527","DOI":"10.1103\/PhysRevA.110.023527","volume":"110","author":"CR Schwarze","year":"2024","unstructured":"Schwarze, C.R., Manni, A.D., Simon, D.S., Sergienko, A.V.: Single-photon description of the lossless optical y coupler. Phys. Rev. A 110, 023527 (2024). https:\/\/doi.org\/10.1103\/PhysRevA.110.023527","journal-title":"Phys. Rev. A"},{"key":"5157_CR44","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1103\/PhysRevLett.79.325","volume":"79","author":"LK Grover","year":"1997","unstructured":"Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack. Phys. Rev. Lett. 79, 325 (1997). https:\/\/doi.org\/10.1103\/PhysRevLett.79.325","journal-title":"Phys. Rev. Lett."},{"key":"5157_CR45","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1080\/00107151031000110776","volume":"44","author":"J Kempe","year":"2003","unstructured":"Kempe, J.: Quantum random walks\u2014an introductory overview. Contemp. Phys. 44, 307 (2003). https:\/\/doi.org\/10.1080\/00107151031000110776","journal-title":"Contemp. Phys."},{"key":"5157_CR46","doi-asserted-by":"publisher","first-page":"012617","DOI":"10.1103\/PhysRevA.104.012617","volume":"104","author":"S Osawa","year":"2021","unstructured":"Osawa, S., Simon, D.S., Sergienko, A.V.: Controllable entangled state distribution in a dual-rail reconfigurable optical network. Phys. Rev. A 104, 012617 (2021). https:\/\/doi.org\/10.1103\/PhysRevA.104.012617","journal-title":"Phys. Rev. A"},{"key":"5157_CR47","doi-asserted-by":"publisher","first-page":"063712","DOI":"10.1103\/PhysRevA.102.063712","volume":"102","author":"S Osawa","year":"2020","unstructured":"Osawa, S., Simon, D.S., Sergienko, A.V.: Higher-dimensional Hong-Ou-Mandel effect with linear multiports. Phys. Rev. A 102, 063712 (2020). https:\/\/doi.org\/10.1103\/PhysRevA.102.063712","journal-title":"Phys. Rev. A"},{"key":"5157_CR48","doi-asserted-by":"publisher","first-page":"033706","DOI":"10.1103\/PhysRevA.106.033706","volume":"106","author":"DS Simon","year":"2022","unstructured":"Simon, D.S., Schwarze, C., Sergienko, A.V.: Interferometry and higher-dimensional phase measurements using directionally unbiased linear optics. Phys. Rev. A 106, 033706 (2022). https:\/\/doi.org\/10.1103\/PhysRevA.106.033706","journal-title":"Phys. Rev. A"},{"key":"5157_CR49","doi-asserted-by":"publisher","first-page":"052615","DOI":"10.1103\/PhysRevA.107.052615","volume":"107","author":"CR Schwarze","year":"2023","unstructured":"Schwarze, C.R., Simon, D.S., Sergienko, A.V.: Enhanced-sensitivity interferometry with phase-sensitive unbiased multiports. Phys. Rev. A 107, 052615 (2023). https:\/\/doi.org\/10.1103\/PhysRevA.107.052615","journal-title":"Phys. Rev. A"},{"key":"5157_CR50","doi-asserted-by":"publisher","first-page":"1266","DOI":"10.1364\/OPTCON.546829","volume":"4","author":"CP Wei","year":"2025","unstructured":"Wei, C.P., Xu, C.G., Liu, Q.: Phase sensitivity of a modified Grover-Michelson interferometer. Opt. Continuum 4, 1266\u20131278 (2025). https:\/\/doi.org\/10.1364\/OPTCON.546829","journal-title":"Opt. Continuum"},{"key":"5157_CR51","doi-asserted-by":"publisher","first-page":"122002","DOI":"10.1103\/8h71-w8tt","volume":"112","author":"A Manni","year":"2025","unstructured":"Manni, A., Schwarze, C.R., Simon, D.S., Ndao, A., Sergienko, A.V.: Strain sensitivity enhancement in a Grover-Michelson interferometer. Phys. Rev. D 112, 122002 (2025). https:\/\/doi.org\/10.1103\/8h71-w8tt","journal-title":"Phys. Rev. D"},{"key":"5157_CR52","doi-asserted-by":"publisher","first-page":"2564","DOI":"10.1103\/PhysRevA.55.2564","volume":"55","author":"M Zukowski","year":"1997","unstructured":"Zukowski, M., Zeilinger, A., Horne, M.A.: Realizable higher-dimensional two-particle entanglements via multiport beam splitters. Phys. Rev. A 55, 2564 (1997). https:\/\/doi.org\/10.1103\/PhysRevA.55.2564","journal-title":"Phys. Rev. A"},{"key":"5157_CR53","doi-asserted-by":"publisher","first-page":"032118","DOI":"10.1103\/PhysRevA.101.032118","volume":"101","author":"DS Simon","year":"2020","unstructured":"Simon, D.S., Osawa, S., Sergienko, A.V.: Quantum-clustered two-photon walks. Phys. Rev. A 101, 032118 (2020). https:\/\/doi.org\/10.1103\/PhysRevA.101.032118","journal-title":"Phys. Rev. A"},{"key":"5157_CR54","doi-asserted-by":"publisher","first-page":"2044","DOI":"10.1103\/PhysRevLett.59.2044","volume":"59","author":"CK Hong","year":"1987","unstructured":"Hong, C.K., Ou, Z.Y., Mandel, L.: Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044 (1987). https:\/\/doi.org\/10.1103\/PhysRevLett.59.2044","journal-title":"Phys. Rev. Lett."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-026-05157-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-026-05157-6","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-026-05157-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T14:56:01Z","timestamp":1783695361000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-026-05157-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,7]]},"references-count":54,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2026,5]]}},"alternative-id":["5157"],"URL":"https:\/\/doi.org\/10.1007\/s11128-026-05157-6","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,7]]},"assertion":[{"value":"13 October 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 March 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 April 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"136"}}