{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,17]],"date-time":"2026-09-17T19:01:52Z","timestamp":1789671712192,"version":"4.0.1"},"reference-count":44,"publisher":"American Association for the Advancement of Science (AAAS)","issue":"6817","license":[{"start":{"date-parts":[[2027,9,17]],"date-time":"2027-09-17T00:00:00Z","timestamp":1821139200000},"content-version":"vor","delay-in-days":365,"URL":"https:\/\/www.science.org\/content\/page\/science-licenses-journal-article-reuse"}],"funder":[{"DOI":"10.13039\/100000005","name":"U.S. Department of Defense","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000005","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000006","name":"Office of Naval Research","doi-asserted-by":"publisher","award":["FA9550-23-1-0338"],"award-info":[{"award-number":["FA9550-23-1-0338"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["FA9550-23-1-0338"],"award-info":[{"award-number":["FA9550-23-1-0338"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000038","name":"Natural Sciences and Engineering Research Council of Canada","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000038","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.science.org"],"crossmark-restriction":true},"short-container-title":["Science"],"published-print":{"date-parts":[[2026,9,17]]},"abstract":"<jats:p>\n                    Quantum mechanics predicts that a vibrating object\u2019s energy comes in discrete packets, yet no measurement of its position reveals this discreteness. Resolving individual energy levels requires a qualitatively different measurement, one coupling to the resonator\u2019s energy rather than its displacement. We use a superconducting qubit dispersively coupled to a nanomechanical resonator to perform repeated quantum nondemolition measurements of the phonon number. An aligned transfer-print technique integrating the qubit and resonator yields a mechanical lifetime of\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:msub>\n                            <mml:mi>T<\/mml:mi>\n                            <mml:mn>1<\/mml:mn>\n                          <\/mml:msub>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>2.1<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    milliseconds and a dispersive shift of\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mrow>\n                            <mml:mrow>\n                              <mml:mn>2<\/mml:mn>\n                              <mml:mtext>\u03c7<\/mml:mtext>\n                            <\/mml:mrow>\n                            <mml:mo>\/<\/mml:mo>\n                            <mml:mrow>\n                              <mml:mn>2<\/mml:mn>\n                              <mml:mtext>\u03c0<\/mml:mtext>\n                            <\/mml:mrow>\n                          <\/mml:mrow>\n                          <mml:mo>=<\/mml:mo>\n                          <mml:mn>328<\/mml:mn>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    kilohertz per phonon. We heralded single-phonon states with 85% fidelity and observed quantum jumps between the resonator\u2019s first excited state and ground state. These discontinuous transitions are a striking manifestation of quantum mechanics in a massive, vibrating object.\n                  <\/jats:p>","DOI":"10.1126\/science.aeh7535","type":"journal-article","created":{"date-parts":[[2026,9,17]],"date-time":"2026-09-17T18:02:51Z","timestamp":1789668171000},"page":"1217-1220","update-policy":"https:\/\/doi.org\/10.34133\/aaas_crossmark","source":"Crossref","is-referenced-by-count":0,"title":["Quantum jumps of sound"],"prefix":"10.1126","volume":"393","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0668-8240","authenticated-orcid":true,"given":"Takuma","family":"Makihara","sequence":"first","affiliation":[{"name":"Department of Applied Physics and Ginzton Laboratory, Stanford University, Stanford, CA, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-2318-1180","authenticated-orcid":true,"given":"Erik","family":"Szakiel","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Ginzton Laboratory, Stanford University, Stanford, CA, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3579-8791","authenticated-orcid":true,"given":"Matthew P.","family":"Maksymowych","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Ginzton Laboratory, Stanford University, Stanford, CA, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-6831-0614","authenticated-orcid":true,"given":"Oliver A.","family":"Hitchcock","sequence":"additional","affiliation":[{"name":"Department of Physics, Stanford University, Stanford, CA, USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4363-185X","authenticated-orcid":true,"given":"Kaveh","family":"Pezeshki","sequence":"additional","affiliation":[{"name":"Department of Applied Physics and Ginzton Laboratory, Stanford University, Stanford, CA, 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