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In this case, the coherent states are used as the signal carrier and a technique of quantum detection is applied to distinguish between signals from different users. To accomplish this task, two main quantum measurement methods are introduced; one is minimum error discrimination (MED), and the other is unambiguous state discrimination (USD). The theoretical derivation implies that the two methods can both distinguish between the signals from different users efficiently when the average photon number is large enough. Typically, the numerical result shows that in the two-user case, the channel capacity will approach the theoretical maximum limit when the average photon number is greater than 2.5 for MED and 5 for USD in the absence of noise. The MED gains more channel capacity than the USD at the same average photon number. However, the USD wins the error-correction scene with its free-error capability. Furthermore, the detection error probability and channel capacity for the USD with the thermal noise are examined. The result shows that increasing the signal average photon number can continue the USD\u2019s advantage of error-free detection even if in the presence of thermal noise. In addition, compared with non-orthogonal multiple access (NOMA), the bit error rate (BER) against signal-to-noise rate (SNR) performance of USD has been improved.<\/jats:p>","DOI":"10.3390\/e24081044","type":"journal-article","created":{"date-parts":[[2022,7,31]],"date-time":"2022-07-31T23:37:29Z","timestamp":1659310649000},"page":"1044","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Multi-Access Channel Based on Quantum Detection in Wireless Optical Communication"],"prefix":"10.3390","volume":"24","author":[{"given":"Wenbin","family":"Yu","sequence":"first","affiliation":[{"name":"Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"Engineering Research Center of Digital Forensics, Ministry of Education, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]},{"given":"Fei","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]},{"given":"Zeyu","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]},{"given":"Yifan","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]},{"given":"Alex X.","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Technology, Qilu University of Technology, Jinan 250353, China"}]},{"given":"Chengjun","family":"Zhang","sequence":"additional","affiliation":[{"name":"Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"Engineering Research Center of Digital Forensics, Ministry of Education, Nanjing University of Information Science and Technology, Nanjing 210044, China"},{"name":"Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing 210044, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1459","DOI":"10.1109\/JLT.2017.2787614","article-title":"Indoor Optical Wireless Systems: Technology, Trends, and Applications","volume":"36","author":"Koonen","year":"2018","journal-title":"J. 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A"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0375-9601(88)90840-7","article-title":"Overlap and distinguishability of quantum states","volume":"126","author":"Dieks","year":"1988","journal-title":"Phys. Lett. A"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"100505","DOI":"10.1103\/PhysRevLett.104.100505","article-title":"Demonstration of coherent-state discrimination using a displacement-controlled photon-number-resolving detector","volume":"104","author":"Wittmann","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"ref_18","first-page":"115","article-title":"An optimum receiver for the binary coherent state quantum channel","volume":"11","author":"Dolinar","year":"1973","journal-title":"Res. Lab. Electron. MIT Q. Prog. Rep."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1038\/nature05655","article-title":"Optical coherent state discrimination using a closed-loop quantum measurement","volume":"446","author":"Cook","year":"2007","journal-title":"Nature"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1896","DOI":"10.1364\/OL.18.001896","article-title":"Near-quantum optimum receivers for the phase-quadrature coherent-state channel","volume":"18","author":"Bondurant","year":"1993","journal-title":"Opt. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"210501","DOI":"10.1103\/PhysRevLett.101.210501","article-title":"Demonstration of near-optimal discrimination of optical coherent states","volume":"101","author":"Wittmann","year":"2008","journal-title":"Phys. Rev. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"250503","DOI":"10.1103\/PhysRevLett.106.250503","article-title":"Quantum receiver beyond the standard quantum limit of coherent optical communication","volume":"106","author":"Tsujino","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"062324","DOI":"10.1103\/PhysRevA.84.062324","article-title":"M-ary-state phase-shift-keying discrimination below the homodyne limit","volume":"84","author":"Becerra","year":"2011","journal-title":"Phys. Rev. A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1038\/nphoton.2012.316","article-title":"Experimental demonstration of a receiver beating the standard quantum limit for multiple nonorthogonal state discrimination","volume":"7","author":"Becerra","year":"2013","journal-title":"Nat. Photonics"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/S0375-9601(99)00015-8","article-title":"Optimal receiver for quantum cryptography with two coherent states","volume":"253","author":"Banaszek","year":"1999","journal-title":"Phys. Lett. A"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"042313","DOI":"10.1103\/PhysRevA.66.042313","article-title":"Unambiguous state discrimination of coherent states with linear optics: Application to quantum cryptography","volume":"66","year":"2002","journal-title":"Phys. Rev. A"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"022326","DOI":"10.1103\/PhysRevA.76.022326","article-title":"Unambiguous identification of coherent states: Searching a quantum database","volume":"76","author":"Ziman","year":"2007","journal-title":"Phys. Rev. A"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"034306","DOI":"10.1103\/PhysRevA.77.034306","article-title":"Programmable discriminator of coherent states: Experimental realization","volume":"77","author":"Soubusta","year":"2008","journal-title":"Phys. Rev. A"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"180501","DOI":"10.1103\/PhysRevLett.109.180501","article-title":"Distinguishing between Nonorthogonal Quantum States of a Single Nuclear Spin","volume":"109","author":"Waldherr","year":"2012","journal-title":"Phys. Rev. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2028","DOI":"10.1038\/ncomms3028","article-title":"Implementation of generalized quantum measurements for unambiguous discrimination of multiple non-orthogonal coherent states","volume":"4","author":"Becerra","year":"2013","journal-title":"Nat. Commun."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"200403","DOI":"10.1103\/PhysRevLett.93.200403","article-title":"Optical Realization of Optimal Unambiguous Discrimination for Pure and Mixed Quantum States","volume":"93","author":"Mohseni","year":"2004","journal-title":"Phys. Rev. Lett."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"062314","DOI":"10.1103\/PhysRevA.76.062314","article-title":"Optimal bounded-error strategies for projective measurements in nonorthogonal-state discrimination","volume":"76","author":"Touzel","year":"2007","journal-title":"Phys. Rev. A"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1007\/s11082-021-03232-z","article-title":"Deep space optical communications (DSOC) downlink simulation with varying PPM order","volume":"53","author":"Aboagye","year":"2021","journal-title":"Opt. Quantum Electron."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"032338","DOI":"10.1103\/PhysRevA.72.032338","article-title":"Quantum detection with uncertain states","volume":"72","author":"Elron","year":"2005","journal-title":"Phys. Rev. A"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1198","DOI":"10.1109\/TIT.2004.828070","article-title":"Optimal detection of symmetric mixed quantum states","volume":"50","author":"Eldar","year":"2004","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2728","DOI":"10.1103\/PhysRevA.54.2728","article-title":"Optimum decision scheme with a unitary control process for binary quantum-state signals","volume":"54","author":"Sasaki","year":"1996","journal-title":"Phys. Rev. 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