Quantum Energy Teleportation versus Information Teleportation

Jinzhao Wang and Shunyu Yao

Stanford Institute for Theoretical Physics, Stanford University, Stanford, CA 94305

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Abstract

Quantum energy teleportation (QET) is the phenomenon in which locally inaccessible energy is activated as extractable work through collaborative local operations and classical communication (LOCC) with an entangled partner. It closely resembles the more well-known quantum information teleportation (QIT) where quantum information can be sent through an entangled pair with LOCC. It is tempting to ask how QET is related to QIT. Here we report a first study of this connection. Despite the apparent similarity, we show that these two phenomena are not only distinct but moreover are mutually competitive. We show a perturbative trade-off relation between their performance in a thermal entangled chaotic many-body system, in which both QET and QIT are simultaneously implemented through a traversable wormhole in an emergent spacetime. Motivated by this example, we study a generic setup of two entangled qudits and prove a universal non-perturbative trade-off bound. It shows that for any teleportation protocol, the overall performance of QET and QIT together is constrained by the entanglement resource. We discuss some explanations of our results.

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[1] Charles H Bennett, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K Wootters. Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels. Physical Review Letters, 70 (13): 1895, 1993. 10.1103/​PhysRevLett.70.1895.
https:/​/​doi.org/​10.1103/​PhysRevLett.70.1895

[2] Dik Bouwmeester, Jian-Wei Pan, Klaus Mattle, Manfred Eibl, Harald Weinfurter, and Anton Zeilinger. Experimental quantum teleportation. Nature, 390 (6660): 575–579, 1997. 10.1038/​37539.
https:/​/​doi.org/​10.1038/​37539

[3] Danilo Boschi, Salvatore Branca, Francesco De Martini, Lucien Hardy, and Sandu Popescu. Experimental realization of teleporting an unknown pure quantum state via dual classical and einstein-podolsky-rosen channels. Physical Review Letters, 80 (6): 1121, 1998. 10.1103/​PhysRevLett.80.1121.
https:/​/​doi.org/​10.1103/​PhysRevLett.80.1121

[4] Masahiro Hotta. A protocol for quantum energy distribution. Physics Letters A, 372 (35): 5671–5676, 2008a. 10.1016/​j.physleta.2008.07.007.
https:/​/​doi.org/​10.1016/​j.physleta.2008.07.007

[5] Masahiro Hotta. Quantum measurement information as a key to energy extraction from local vacuums. Physical Review D, 78 (4): 045006, 2008b. 10.1103/​PhysRevD.78.045006.
https:/​/​doi.org/​10.1103/​PhysRevD.78.045006

[6] Masahiro Hotta. Quantum energy teleportation in spin chain systems. Journal of the Physical Society of Japan, 78 (3): 034001, 2009. 10.1143/​JPSJ.78.034001.
https:/​/​doi.org/​10.1143/​JPSJ.78.034001

[7] Masahiro Hotta. Energy entanglement relation for quantum energy teleportation. Physics Letters A, 374 (34): 3416–3421, 2010. 10.1016/​j.physleta.2010.06.058.
https:/​/​doi.org/​10.1016/​j.physleta.2010.06.058

[8] Nayeli A Rodríguez-Briones, Hemant Katiyar, Eduardo Martín-Martínez, and Raymond Laflamme. Experimental activation of strong local passive states with quantum information. Physical Review Letters, 130 (11): 110801, 2023. 10.1103/​PhysRevLett.130.110801.
https:/​/​doi.org/​10.1103/​PhysRevLett.130.110801

[9] Kazuki Ikeda. Demonstration of quantum energy teleportation on superconducting quantum hardware. Physical Review Applied, 20 (2): 024051, 2023. 10.1103/​PhysRevApplied.20.024051.
https:/​/​doi.org/​10.1103/​PhysRevApplied.20.024051

[10] Alexei Kitaev. A simple model of quantum holography talk1 and talk2. Talks at KITP, April 7, 2015 and May 27, 2015.
http:/​/​online.kitp.ucsb.edu/​online/​entangled15/​kitaev/​

[11] Juan Maldacena, Douglas Stanford, and Zhenbin Yang. Conformal symmetry and its breaking in two-dimensional nearly Anti-de Sitter space. Progress of Theoretical and Experimental Physics, 2016 (12): 12C104, 2016. 10.1093/​ptep/​ptw124.
https:/​/​doi.org/​10.1093/​ptep/​ptw124

[12] Juan Maldacena and Douglas Stanford. Remarks on the Sachdev-Ye-Kitaev model. Physical Review D, 94 (10): 106002, 2016. 10.1103/​PhysRevD.94.106002.
https:/​/​doi.org/​10.1103/​PhysRevD.94.106002

[13] Ping Gao, Daniel Louis Jafferis, and Aron C Wall. Traversable wormholes via a double trace deformation. Journal of High Energy Physics, 2017 (12): 1–25, 2017. 10.1007/​JHEP12(2017)151.
https:/​/​doi.org/​10.1007/​JHEP12(2017)151

[14] Juan Maldacena, Douglas Stanford, and Zhenbin Yang. Diving into traversable wormholes. Fortschritte der Physik, 65 (5): 1700034, 2017. 10.1002/​prop.201700034.
https:/​/​doi.org/​10.1002/​prop.201700034

[15] Leonard Susskind and Ying Zhao. Teleportation through the wormhole. Physical Review D, 98 (4): 046016, 2018. 10.1103/​PhysRevD.98.046016.
https:/​/​doi.org/​10.1103/​PhysRevD.98.046016

[16] Juan Maldacena and Xiao-Liang Qi. Eternal traversable wormhole. arXiv:1804.00491, 2018. 10.48550/​arXiv.1804.00491.
https:/​/​doi.org/​10.48550/​arXiv.1804.00491
arXiv:1804.00491

[17] Ping Gao and Daniel Louis Jafferis. A traversable wormhole teleportation protocol in the syk model. Journal of High Energy Physics, 2021 (7): 1–44, 2021. 10.1007/​JHEP07(2021)097.
https:/​/​doi.org/​10.1007/​JHEP07(2021)097

[18] Adam R Brown, Hrant Gharibyan, Stefan Leichenauer, Henry W Lin, Sepehr Nezami, Grant Salton, Leonard Susskind, Brian Swingle, and Michael Walter. Quantum gravity in the lab. I. teleportation by size and traversable wormholes. PRX Quantum, 4 (1): 010320, 2023. 10.1103/​PRXQuantum.4.010320.
https:/​/​doi.org/​10.1103/​PRXQuantum.4.010320

[19] Sepehr Nezami, Henry W Lin, Adam R Brown, Hrant Gharibyan, Stefan Leichenauer, Grant Salton, Leonard Susskind, Brian Swingle, and Michael Walter. Quantum gravity in the lab. II. teleportation by size and traversable wormholes. PRX Quantum, 4 (1): 010321, 2023. 10.1103/​PRXQuantum.4.010321.
https:/​/​doi.org/​10.1103/​PRXQuantum.4.010321

[20] Thomas Schuster, Bryce Kobrin, Ping Gao, Iris Cong, Emil T Khabiboulline, Norbert M Linke, Mikhail D Lukin, Christopher Monroe, Beni Yoshida, and Norman Y Yao. Many-body quantum teleportation via operator spreading in the traversable wormhole protocol. Physical Review X, 12 (3): 031013, 2022. 10.1103/​PhysRevX.12.031013.
https:/​/​doi.org/​10.1103/​PhysRevX.12.031013

[21] Daniel Jafferis, Alexander Zlokapa, Joseph D Lykken, David K Kolchmeyer, Samantha I Davis, Nikolai Lauk, Hartmut Neven, and Maria Spiropulu. Traversable wormhole dynamics on a quantum processor. Nature, 612 (7938): 51–55, 2022. 10.1038/​s41586-022-05424-3.
https:/​/​doi.org/​10.1038/​s41586-022-05424-3

[22] Tian-Gang Zhou, Yingfei Gu, and Pengfei Zhang. Size winding mechanism beyond maximum chaos. arXiv:2401.09524, 2024. 10.1007/​JHEP11(2024)044.
https:/​/​doi.org/​10.1007/​JHEP11(2024)044
arXiv:2401.09524

[23] Zeyu Liu and Pengfei Zhang. Fidelity of wormhole teleportation in finite-qubit systems. arXiv:2403.16793, 2024. 10.48550/​arXiv.2403.16793.
https:/​/​doi.org/​10.48550/​arXiv.2403.16793
arXiv:2403.16793

[24] Juan Maldacena. Eternal black holes in Anti-de Sitter. Journal of High Energy Physics, 2003 (04): 021, 2003. 10.1088/​1126-6708/​2003/​04/​021.
https:/​/​doi.org/​10.1088/​1126-6708/​2003/​04/​021

[25] Jacob D Bekenstein. Universal upper bound on the entropy-to-energy ratio for bounded systems. Physical Review D, 23 (2): 287, 1981. 10.1103/​PhysRevD.23.287.
https:/​/​doi.org/​10.1103/​PhysRevD.23.287

[26] Raphael Bousso. Universal limit on communication. Physical Review Letters, 119 (14): 140501, 2017. 10.1103/​PhysRevLett.119.140501.
https:/​/​doi.org/​10.1103/​PhysRevLett.119.140501

[27] Patrick Hayden and Jinzhao Wang. What exactly does bekenstein bound? arXiv:2309.07436, 2023. 10.48550/​arXiv.2309.07436.
https:/​/​doi.org/​10.48550/​arXiv.2309.07436
arXiv:2309.07436

[28] Shinsei Ryu and Tadashi Takayanagi. Holographic derivation of entanglement entropy from the AdS/​CFT correspondence. Physical Review Letters, 96 (18): 181602, 2006. 10.1103/​PhysRevLett.96.181602.
https:/​/​doi.org/​10.1103/​PhysRevLett.96.181602

[29] Thomas Faulkner, Aitor Lewkowycz, and Juan Maldacena. Quantum corrections to holographic entanglement entropy. Journal of High Energy Physics, 2013 (11): 1–18, 2013. 10.1007/​JHEP11(2013)074.
https:/​/​doi.org/​10.1007/​JHEP11(2013)074

[30] Aitor Lewkowycz and Juan Maldacena. Generalized gravitational entropy. Journal of High Energy Physics, 2013 (8): 1–29, 2013. 10.1007/​JHEP08(2013)090.
https:/​/​doi.org/​10.1007/​JHEP08(2013)090

[31] Donald Marolf, Djordje Minic, and Simon F Ross. Notes on spacetime thermodynamics and the observer dependence of entropy. Physical Review D, 69 (6): 064006, 2004. 10.1103/​PhysRevD.69.064006.
https:/​/​doi.org/​10.1103/​PhysRevD.69.064006

[32] Donald Marolf. A few words on entropy, thermodynamics, and horizons. In General Relativity and Gravitation, pages 83–103. World Scientific, 2005. 10.1142/​9789812701688_0008.
https:/​/​doi.org/​10.1142/​9789812701688_0008

[33] Horacio Casini. Relative entropy and the bekenstein bound. Classical and Quantum Gravity, 25 (20): 205021, 2008. 10.1088/​0264-9381/​25/​20/​205021.
https:/​/​doi.org/​10.1088/​0264-9381/​25/​20/​205021

[34] Jingru Lu, Zhenbin Yang, and Jianming Zheng. Work in progress, 2024.

[35] David D Blanco, Horacio Casini, Ling-Yan Hung, and Robert C Myers. Relative entropy and holography. Journal of High Energy Physics, 2013 (8): 1–65, 2013. 10.1007/​JHEP08(2013)060.
https:/​/​doi.org/​10.1007/​JHEP08(2013)060

[36] Bernard Yurke and David Stoler. Einstein-podolsky-rosen effects from independent particle sources. Physical Review Letters, 68 (9): 1251, 1992. 10.1103/​PhysRevLett.68.1251.
https:/​/​doi.org/​10.1103/​PhysRevLett.68.1251

[37] Marek Zukowski, Anton Zeilinger, M Horne, and Artur Ekert. ``Event-ready-detectors" Bell experiment via entanglement swapping. Physical Review Letters, 71 (26), 1993. 10.1103/​PhysRevLett.71.4287.
https:/​/​doi.org/​10.1103/​PhysRevLett.71.4287

[38] Jian-Wei Pan, Dik Bouwmeester, Harald Weinfurter, and Anton Zeilinger. Experimental entanglement swapping: entangling photons that never interacted. Physical Review Letters, 80 (18): 3891, 1998. 10.1103/​PhysRevLett.80.3891.
https:/​/​doi.org/​10.1103/​PhysRevLett.80.3891

[39] Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki. Quantum entanglement. Reviews of Modern Physics, 81 (2): 865, 2009. 10.1103/​RevModPhys.81.865.
https:/​/​doi.org/​10.1103/​RevModPhys.81.865

[40] Michał Horodecki, Paweł Horodecki, and Ryszard Horodecki. General teleportation channel, singlet fraction, and quasidistillation. Physical Review A, 60 (3): 1888, 1999. 10.1103/​PhysRevA.60.1888.
https:/​/​doi.org/​10.1103/​PhysRevA.60.1888

[41] Michael A Nielsen. A simple formula for the average gate fidelity of a quantum dynamical operation. Physics Letters A, 303 (4): 249–252, 2002. 10.1016/​S0375-9601(02)01272-0.
https:/​/​doi.org/​10.1016/​S0375-9601(02)01272-0

[42] Armen E Allahverdyan, Roger Balian, and Th M Nieuwenhuizen. Maximal work extraction from finite quantum systems. Europhysics Letters, 67 (4): 565, 2004. 10.1209/​epl/​i2004-10101-2.
https:/​/​doi.org/​10.1209/​epl/​i2004-10101-2

[43] Robert Alicki and Mark Fannes. Entanglement boost for extractable work from ensembles of quantum batteries. Phys. Rev. E, 87: 042123, Apr 2013. 10.1103/​PhysRevE.87.042123.
https:/​/​doi.org/​10.1103/​PhysRevE.87.042123

[44] Andrew Lenard. Thermodynamical proof of the gibbs formula for elementary quantum systems. Journal of Statistical Physics, 19: 575–586, 1978. 10.1007/​bf01011769.
https:/​/​doi.org/​10.1007/​bf01011769

[45] Wiesław Pusz and Stanisław L Woronowicz. Passive states and kms states for general quantum systems. Communications in Mathematical Physics, 58: 273–290, 1978. 10.1007/​bf01614224.
https:/​/​doi.org/​10.1007/​bf01614224

[46] Masahiro Hotta, Jiro Matsumoto, and Go Yusa. Quantum energy teleportation without a limit of distance. Physical Review A, 89 (1): 012311, 2014. 10.1103/​PhysRevA.89.012311.
https:/​/​doi.org/​10.1103/​PhysRevA.89.012311

[47] Adam R Brown. The channel capacity of a relativistic string. arXiv:2405.14856, 2024. 10.48550/​arXiv.2405.14856.
https:/​/​doi.org/​10.48550/​arXiv.2405.14856
arXiv:2405.14856

[48] Renato Renner. Security of quantum key distribution. International Journal of Quantum Information, 6 (01): 1–127, 2008. 10.1142/​S0219749908003256.
https:/​/​doi.org/​10.1142/​S0219749908003256

[49] Nilanjana Datta. Min-and max-relative entropies and a new entanglement monotone. IEEE Transactions on Information Theory, 55 (6): 2816–2826, 2009. 10.1109/​TIT.2009.2018325.
https:/​/​doi.org/​10.1109/​TIT.2009.2018325

[50] Marco Tomamichel, Roger Colbeck, and Renato Renner. A fully quantum asymptotic equipartition property. IEEE Transactions on Information Theory, 55 (12): 5840–5847, 2009. 10.1109/​TIT.2009.2032797.
https:/​/​doi.org/​10.1109/​TIT.2009.2032797

[51] Marco Tomamichel. Quantum information processing with finite resources: Mathematical foundations, volume 5. Springer, 2015. 10.1007/​978-3-319-21891-5.
https:/​/​doi.org/​10.1007/​978-3-319-21891-5

[52] Mark Fannes. A continuity property of the entropy density for spin lattice systems. Communications in Mathematical Physics, 31: 291–294, 1973. 10.1007/​BF01646490.
https:/​/​doi.org/​10.1007/​BF01646490

[53] Koenraad MR Audenaert. A sharp continuity estimate for the von neumann entropy. Journal of Physics A: Mathematical and Theoretical, 40 (28): 8127, 2007. 10.1088/​1751-8113/​40/​28/​S18.
https:/​/​doi.org/​10.1088/​1751-8113/​40/​28/​S18

[54] Sam A Hill and William K Wootters. Entanglement of a pair of quantum bits. Physical Review Letters, 78 (26): 5022, 1997. 10.1103/​PhysRevLett.78.5022.
https:/​/​doi.org/​10.1103/​PhysRevLett.78.5022

[55] William K. Wootters. Entanglement of formation of an arbitrary state of two qubits. Physical Review Letters, 80: 2245–2248, Mar 1998. 10.1103/​PhysRevLett.80.2245.
https:/​/​doi.org/​10.1103/​PhysRevLett.80.2245

[56] Charles H Bennett, David P DiVincenzo, John A Smolin, and William K Wootters. Mixed-state entanglement and quantum error correction. Physical Review A, 54 (5): 3824, 1996. 10.1103/​PhysRevA.54.3824.
https:/​/​doi.org/​10.1103/​PhysRevA.54.3824

[57] Patrick M Hayden, Michal Horodecki, and Barbara M Terhal. The asymptotic entanglement cost of preparing a quantum state. Journal of Physics A: Mathematical and General, 34 (35): 6891, 2001. 10.1088/​0305-4470/​34/​35/​314.
https:/​/​doi.org/​10.1088/​0305-4470/​34/​35/​314

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