Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-09T09:21:03.916Z Has data issue: false hasContentIssue false
  • English
  • Français

The Subtleties of Entanglement and its Role in Quantum Information Theory

Published online by Cambridge University Press:  01 January 2022

Rob Clifton
Rob Clifton*
Affiliation:
University of Pittsburgh
*
Send requests for reprints to the author, Department of Philosophy, 1001 Cathedral of Learning, University of Pittsburgh, Pittsburgh, PA 15260; [email protected].
Get access Rights & Permissions [Opens in a new window]

Abstract

My aim in this paper is a modest one. I do not have any particular thesis to advance about the nature of entanglement, nor can I claim novelty for any of the material I shall discuss. My aim is simply to raise some questions about entanglement that spring naturally from certain developments in quantum information theory and are, I believe, worthy of serious consideration by philosophers of science. The main topics I discuss are different manifestations of quantum nonlocality, entanglement-assisted communication, and entanglement thermodynamics.

Type
Research Article
Information
Philosophy of Science , Volume 69 , Issue S3 , September 2002 , pp. S150 - S167
Copyright
Copyright © The Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bell, John (1964), “On the Einstein-Podolsky-Rosen Paradox”, On the Einstein-Podolsky-Rosen Paradox 1:195–200.Google Scholar
Bennett, Charles, and Wiesner, Stephen (1992), “Communication via One- and Two-Particle Operators on Einstein-Podolsky-Rosen States”, Communication via One- and Two-Particle Operators on Einstein-Podolsky-Rosen States 69:2881–2884.Google ScholarPubMed
Bennett, Charles, Brassard, Gilles, Crépeau, Claude, Josza, Richard, Peres, Asher, and Wootters, William (1993), “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels”, Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels 70:1895–1899.Google ScholarPubMed
Bennett, Charles, Bernstein, Herbert, Popescu, Sandu, and Schumacher, Benjamin (1996), “Concentrating Partial Entanglement by Local Operations”, Concentrating Partial Entanglement by Local Operations A 53:2046–2052.Google ScholarPubMed
Brassard, Gilles, Cleve, Richard, and Tapp, Alain (1999), “The Cost of Exactly Simulating Quantum Entanglement with Classical Communication”, The Cost of Exactly Simulating Quantum Entanglement with Classical Communication 83:1874–1877.Google Scholar
Braunstein, Samuel, and Caves, Carlton (1988), “Information-theoretic Bell Inequalities”, Information-theoretic Bell Inequalities 61:662–665.Google ScholarPubMed
Bouwmeester, Dik, Ekert, Artur, and Zeilinger, Anton (eds.) (2000), The Physics of Quantum Information, Berlin: Springer-Verlag.CrossRefGoogle Scholar
Cerf, Nicolas, and Adami, Chris (1997), “Negative Entropy and Information in Quantum Mechanics”, Negative Entropy and Information in Quantum Mechanics 79:5194–5197.Google Scholar
Clifton, Rob, and Pope, Damian (2001), “On the Nonlocality of the Quantum Channel in the Standard Teleportation Protocol”, Physics Letters A, forthcoming.CrossRefGoogle Scholar
Clifton, Rob, Halvorson, Hans, and Kent, Adrian (1999), “Non-local Correlations Are Generic in Infinite-Dimensional Bipartite Systems”, Non-local Correlations Are Generic in Infinite-Dimensional Bipartite Systems A 61: 042101.Google Scholar
Cushing, Jim, and McMullin, Ernan (eds.) (1989), Philosophical Consequences of Bell’s Theorem. Notre Dame: Notre Dame University Press.Google Scholar
Deutsch, David, and Hayden, Patrick (1999), “Information Flow in Entangled Quantum Systems”, quant-ph/9906007.Google Scholar
Duwell, Armond (2000), “Explaining Information Transfer in Quantum Teleportation”, Explaining Information Transfer in Quantum Teleportation 68 (Supplement): S288–S300.Google Scholar
Einstein, Albert, Podolsky, Boris, and Rosen, Nathan (1935), “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?”, Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? 47:777–780.Google Scholar
Fuchs, Christopher, and Peres, Asher (2000), “Quantum Theory Needs No ‘Interpretation’”, Quantum Theory Needs No ‘Interpretation’ 53:70–71.Google Scholar
Gisin, Nicolas (2000), “Local Filtering”, in , Bouwmeester et al. (eds.), The Physics of Quantum Information. Berlin: Springer-Verlag pp. 269–271.Google Scholar
Horodecki, Michal, Horodecki, Pawel, and Horodecki, Ryszard (1997), “Inseparable Two Spin-1/2 Density Matrices Can Be Distilled to a Singlet Form”, Inseparable Two Spin-1/2 Density Matrices Can Be Distilled to a Singlet Form 78:574–577.Google Scholar
Horodecki, Michal, Horodecki, Pawel, and Horodecki, Ryszard (1998b), “Mixed-State Entanglement and Distillation: Is There a “Bound” Entanglement in Nature?”, Mixed-State Entanglement and Distillation: Is There a “Bound” Entanglement in Nature? 80:5239–5242.Google Scholar
Horodecki, Michal, Horodecki, Pawel, and Horodecki, Ryszard (2000), “Asymptotic Entanglement Manipulations Can Be Genuinely Irreversible”, Asymptotic Entanglement Manipulations Can Be Genuinely Irreversible 84:4260–4263.Google Scholar
Horodecki, Michal, Horodecki, Pawel, and Horodecki, Ryszard (2001a), “Erratum: Asymptotic Entanglement Manipulations Can Be Genuinely Irreversible [Phys. Rev. Lett. 84, 4260 (2000)]”, Erratum: Asymptotic Entanglement Manipulations Can Be Genuinely Irreversible [Phys. Rev. Lett. 84, 4260 (2000)] 86: 5844.Google Scholar
Horodecki, Pawel, Horodecki, Ryszard, and Horodecki, Michal (1998a), “Entanglement and Thermodynamical Analogies”, Entanglement and Thermodynamical Analogies 48:141–156.Google Scholar
Horodecki, Ryszard, Horodecki, Michal, and Horodecki, Pawel (1996), “Teleportation, Bell’s Inequalities, and Inseparability”, Teleportation, Bell’s Inequalities, and Inseparability A 222:21–25.Google Scholar
Horodecki, Ryszard, Horodecki, Michal, and Horodecki, Pawel (2001b), “On Balance of Information in Bipartite Quantum Communication Systems: Entanglement-Energy Analogy”, On Balance of Information in Bipartite Quantum Communication Systems: Entanglement-Energy Analogy A 63: 022310.Google Scholar
Lo Hoi-Kwong, Sandu Popescu, and Spiller, Tim (1998), Introduction to Quantum Computation and Information. Singapore: World Scientific.Google Scholar
Massar, Serge, Bacon, Dave, Cerf, Nicolas, and Cleve, Richard (2001), “Classical Simulation of Quantum Entanglement without Local Hidden Variables”, Classical Simulation of Quantum Entanglement without Local Hidden Variables A 63: 052305.Google Scholar
Maudlin, Tim (1994), Quantum Non-Locality and Relativity. Oxford: Blackwell.Google Scholar
Mermin, N. David (1996), “Hidden Quantum Non-Locality”, in Clifton, Rob (ed.), Perspectives on Quantum Reality. Dordrecht: Kluwer, 57–71.CrossRefGoogle Scholar
Nielsen, Michael, and Chuang, Isaac (2000), Quantum Computation and Quantum Information. Cambridge: Cambridge University Press.Google Scholar
Peres, Asher (1996), “Collective Tests for Quantum Nonlocality”, Collective Tests for Quantum Nonlocality A 54:2685–2689.Google ScholarPubMed
Plenio, Martin, and Vedral, Vlatko (1998), “Teleportation, Entanglement, and Thermodynamics in the Quantum World”, Teleportation, Entanglement, and Thermodynamics in the Quantum World 39:431–446.Google Scholar
Popescu, Sandu (1994), “Bell’s Inequalities versus Teleportation: What is Nonlocality?”, Bell’s Inequalities versus Teleportation: What is Nonlocality? 72:797–799.Google ScholarPubMed
Popescu, Sandu (1995), “Bell’s Inequalities and Density Matrices: Revealing ‘Hidden’ Nonlocality”, Bell’s Inequalities and Density Matrices: Revealing ‘Hidden’ Nonlocality 74:2619–2622.Google ScholarPubMed
Popescu, Sandu, and Rohrlich, Daniel (1992), “Generic Quantum Non-Locality”, Generic Quantum Non-Locality A 166:293–297.Google Scholar
Popescu, Sandu, and Rohrlich, Daniel (1997), “Thermodynamics and the Measure of Entanglement”, Thermodynamics and the Measure of Entanglement A 56:R3319–R3321.Google Scholar
Popescu, Sandu, and Rohrlich, Daniel (1998), “The Joy of Entanglement”, in Lo et al. Introduction to Quantum Computation and Information. Singapore: World Scientific.Google Scholar
Preskill, John (1998), Lecture Notes for Physics 229: Quantum Information and Computation, at http://www.theory.caltech.edu/people/preskill/ph229/.Google Scholar
Schrödinger, Erwin (1935), “Discussion of Probability Relations between Separated Systems”, Discussion of Probability Relations between Separated Systems 31:555–563.Google Scholar
Schrödinger, Erwin (1936), “Probability Relations between Separated Systems”, Probability Relations between Separated Systems 32:446–452.Google Scholar
Shor, Peter, Smolin, John, and Terhal, Barbara (2001), “Nonadditivity of Bipartite Distillable Entanglement Follows from a Conjecture on Bound Entangled Werner States”, Nonadditivity of Bipartite Distillable Entanglement Follows from a Conjecture on Bound Entangled Werner States 86:2681–2684.Google ScholarPubMed
Steiner, Michael (1999), “Towards Quantifying Non-Local Information Transfer: Finite-Bit Non-Locality”, Towards Quantifying Non-Local Information Transfer: Finite-Bit Non-Locality A 270:239–244.Google Scholar
Vidal, Guifré, and Cirac, Ignacio (2001), “Irreversibility in Asymptotic Manipulations of Entanglement”, Irreversibility in Asymptotic Manipulations of Entanglement 86:5803–5806.Google Scholar
Werner, Reinhard (1989), “Quantum States with Einstein-Podolsky-Rosen Correlations Admitting a Hidden-Variable Model”, Quantum States with Einstein-Podolsky-Rosen Correlations Admitting a Hidden-Variable Model A 40:4277–4281.Google ScholarPubMed
Żukowski, Marek (2000), “Bell Theorem for Nonclassical Part of Quantum Teleportation”, Bell Theorem for Nonclassical Part of Quantum Teleportation A 62: 032101.Google Scholar