Knowledge (XXG)

Pusey–Barrett–Rudolph theorem

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1425: 1415: 69:, the theorem rules that pure quantum states must be "ontic" in the sense that they correspond directly to states of reality, rather than "epistemic" in the sense that they represent probabilistic or incomplete states of knowledge about reality. 205:
about an objective physical state of a system cannot reproduce the predictions of quantum theory. The result is in the same spirit as Bell’s theorem, which states that no local theory can reproduce the predictions of quantum
117:, concerns the interpretational status of pure quantum states. Under the classification of hidden variable models of Harrigan and Spekkens, the interpretation of the quantum wavefunction 179: 143: 614: 576: 448: 1306: 1207: 868: 153:
epistemic "if there exist ontic states that are consistent with more than one pure quantum state." The PBR theorem proves that either the quantum state
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hidden variable theories, in which quantum states that are prepared independently have independent hidden variable descriptions.
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hidden variable theories and noncontextual hidden variable theories. Similarly, the PBR theorem could be said to rule out
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Pusey, Matthew F.; Barrett, Jonathan; Rudolph, Terry (2011). "The quantum state cannot be interpreted statistically".
741: 239: 77: 54:(for whom the theorem is named) in 2012. It has particular significance for how one may interpret the nature of the 1168: 1040: 937: 813: 648: 977: 942: 838: 781: 1062: 676: 1150: 1123: 1099: 853: 786: 721: 706: 599: 1464: 1301: 1035: 927: 897: 696: 1371: 1135: 1128: 875: 62: 1291: 843: 808: 80:, which, respectively, rule out the possibility of explaining the predictions of quantum mechanics with 917: 316: 1081: 830: 681: 401: 281: 186: 1183: 156: 120: 1400: 1353: 957: 711: 691: 626: 621: 229: 202: 47: 1116: 764: 701: 543: 517: 425: 391: 358: 332: 297: 271: 962: 201:, which—modulo assumptions—shows that models in which the quantum state is interpreted as mere 1380: 1025: 932: 889: 820: 736: 716: 671: 631: 609: 535: 417: 234: 211:
Matthew F. Pusey, Jonathan Barrett, and Terry Rudolph, "On the reality of the quantum state",
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as "the most important general theorem relating to the foundations of quantum mechanics since
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Leifer, Matt (2014). "Is the quantum state real? An extended review of ψ-ontology theorems".
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Pusey, M. F.; Barrett, J.; Rudolph, T. (2012). "On the reality of the quantum state".
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quantum states violate the assumption of preparation independence, which would entail
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The PBR theorem may also be compared with other no-go theorems like
449:"Guest Post: David Wallace on the Physicality of the Quantum State" 636: 522: 396: 276: 108: 1385: 858: 791: 558: 1002: 987: 469:"Study Says Quantum Wavefunction Is a Real Physical Object" 27:
Theorem pertaining to the ontology of quantum mechanics
490:"Can the quantum state be interpreted statistically?" 159: 123: 1352: 1315: 1281: 1258: 1225: 1216: 1149: 1078: 1016: 976: 888: 829: 755: 664: 592: 173: 137: 195: 91:This result was cited by theoretical physicist 570: 257: 255: 8: 168: 132: 50:due to Matthew Pusey, Jonathan Barrett, and 494:Mathematics — Physics — Quantum Theory blog 111:preprint and was subsequently published in 65:that attempt to explain the predictions of 1222: 826: 577: 563: 555: 315:Reich, Eugenie Samuel (17 November 2011). 521: 395: 362: 275: 160: 158: 124: 122: 107:This theorem, which first appeared as an 1095:Continuous-variable quantum information 251: 7: 317:"Quantum theorem shakes foundations" 197:In conclusion, we have presented a 447:David Wallace (18 November 2011). 25: 1424: 1423: 1414: 1413: 488:Matt Leifer (20 November 2011). 61:With respect to certain realist 174:{\displaystyle |\psi \rangle } 161: 138:{\displaystyle |\psi \rangle } 125: 1: 1455:Theorems in quantum mechanics 1090:Adiabatic quantum computation 145:can be categorized as either 1141:Topological quantum computer 1450:Quantum information science 1419:Quantum information science 586:Quantum information science 78:Bell–Kochen–Specker theorem 1481: 814:quantum gate teleportation 1409: 943:Quantum Fourier transform 839:Post-quantum cryptography 782:Entanglement distillation 414:10.1007/s10701-009-9347-0 1429:Quantum mechanics topics 1124:Quantum machine learning 1100:One-way quantum computer 953:Quantum phase estimation 854:Quantum key distribution 787:Monogamy of entanglement 455:. Kalmbach Publishing Co 453:Discover Magazine (blog) 329:10.1038/nature.2011.9392 63:hidden variable theories 1036:Randomized benchmarking 898:Amplitude amplification 532:10.12743/quanta.v3i1.22 86:preparation independent 1460:Hidden variable theory 1136:Quantum Turing machine 1129:quantum neural network 876:Quantum secret sharing 384:Foundations of Physics 240:Kochen–Specker theorem 221: 175: 139: 1208:Entanglement-assisted 1169:quantum convolutional 844:Quantum coin flipping 809:Quantum teleportation 770:entanglement-assisted 600:DiVincenzo's criteria 176: 140: 32:Pusey–Barrett–Rudolph 1019:processor benchmarks 948:Quantum optimization 831:Quantum cryptography 642:physical vs. logical 378:Harrigan, Nicholas; 191:action at a distance 185:-ontic, or else non- 157: 121: 732:Quantum speed limit 627:Quantum programming 622:Quantum information 406:2010FoPh...40..125H 380:Spekkens, Robert W. 286:2012NatPh...8..476P 230:Quantum foundations 48:quantum foundations 1381:Forest/Rigetti QCS 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Index

PBR theorem
no-go theorem
quantum foundations
Terry Rudolph
quantum state
hidden variable theories
quantum mechanics
Bell's theorem
Bell–Kochen–Specker theorem
Antony Valentini
Bell's theorem
arXiv
Nature Physics
entangled
action at a distance
no-go theorem
information
Quantum foundations
Bell's theorem
Kochen–Specker theorem


arXiv
1111.3328
Bibcode
2012NatPh...8..476P
doi
10.1038/nphys2309
S2CID
14618942

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