Quantum energy teleportation

Main article: Unsolved:Teleportation

Quantum energy teleportation, a hypothesis first put forward by Japanese physicist Masahiro Hotta of Tohoku University, proposes that it may be possible to teleport energy by exploiting quantum energy fluctuations of an entangled vacuum state of a quantum field.[1][2][3][4][5][6][7][8][9][10][11][12] The hypothesis proposes that energy may be injected into a zero-point fluctuation of the field at one place and extracted from a fluctuation at another place. Even for interstellar distance energy transfer, the amount of teleported energy is nonzero,[13] but negligibly small. In contrast, the teleportation protocol will be effective in small quantum worlds of nanoscale devices like quantum computers.

The idea is a continuation of work by computer scientist Charles H. Bennett on quantum teleportation C.H. Bennett, et al. in 1993[14] and experimentally confirmed by various experiments in the following years.[15][16][17] Protocols of the quantum teleportation transfer quantum information, but cannot teleport energy itself.

## Description

Quantum energy teleportation is a quantum protocol which transfers locally available energy, in an operational sense, from one subsystem of a many-body system to another in an entangled ground state by using local operations and classical communication (LOCC). The locally available energy indicates the energy which can be extracted from a subsystem by local operations and harnessed for any purpose. The transfer speed can be much faster than the velocity of energy diffusion of the system. It does not allow energy transportation at superluminal (faster than light) speed, nor does it increase total energy itself contained in a distant place. Though zero-point energy of the ground state exists everywhere in the system and contributes to the amount of the total energy, it is not available by use of ordinary local operations. However, if information about a local zero-point fluctuation, which carries a portion of the zero-point energy, is obtained by a measurement of a distant subsystem via ground-state entanglement, the energy becomes available, and can be extracted by a local operation dependent on the information. The extraction of the energy is accompanied by generation of negative energy density, which is allowed in quantum physics of many-body systems including quantum fields, and retains the local energy conservation law. The remote measurement, which provides the information for energy extraction, injects energy into the measured subsystem. A portion of the injected energy, which amount is larger than that of the energy extracted from the zero-point fluctuation, becomes unavailable because of entanglement breaking by the measurement, and cannot be retrieved by local operations in the measurement region. Thus, during the protocol, the amount of locally available energy decreases in the measurement region, and it increases in the energy extraction region. The injected energy is the input of this teleportation protocol, and the extracted energy is the output.

The details can be found in a review article written by Hotta.[18]

## Experiments

Experimental verification of the teleportation has not been achieved yet. A realistic experimental proposal is provided using a semiconductor exhibiting the quantum Hall effect.[19]

## References

1. ↑ Hotta, Masahiro (2008). "A protocol for quantum energy distribution". Physics Letters A (Elsevier BV) 372 (35): 5671–5676. doi:10.1016/j.physleta.2008.07.007. ISSN 0375-9601.
2. ↑ Hotta, Masahiro (2008-08-08). "Quantum measurement information as a key to energy extraction from local vacuums". Physical Review D (American Physical Society (APS)) 78 (4): 045006. doi:10.1103/physrevd.78.045006. ISSN 1550-7998.
3. ↑ Hotta, Masahiro (2009-03-15). "Quantum Energy Teleportation in Spin Chain Systems". Journal of the Physical Society of Japan (Physical Society of Japan) 78 (3): 034001. doi:10.1143/jpsj.78.034001. ISSN 0031-9015.
4. ↑ Hotta, Masahiro (2009-10-22). "Quantum energy teleportation with trapped ions". Physical Review A (American Physical Society (APS)) 80 (4): 042323. doi:10.1103/physreva.80.042323. ISSN 1050-2947.
5. ↑ Hotta, Masahiro (2010-02-18). "Quantum energy teleportation with an electromagnetic field: discrete versus continuous variables". Journal of Physics A: Mathematical and Theoretical (IOP Publishing) 43 (10): 105305. doi:10.1088/1751-8113/43/10/105305. ISSN 1751-8113.
6. ↑ Hotta, Masahiro (2010-02-16). "Controlled Hawking process by quantum energy teleportation". Physical Review D (American Physical Society (APS)) 81 (4): 044025. doi:10.1103/physrevd.81.044025. ISSN 1550-7998.
7. ↑ Hotta, Masahiro (2010). "Energy Entanglement Relation for Quantum Energy Teleportation". Physics Letters A 374 (34): 3416–3421. doi:10.1016/j.physleta.2010.06.058. Bibcode: 2010PhLA..374.3416H.
8. ↑ Nambu, Yasusada; Hotta, Masahiro (2010-10-22). "Quantum energy teleportation with a linear harmonic chain". Physical Review A (American Physical Society (APS)) 82 (4): 042329. doi:10.1103/physreva.82.042329. ISSN 1050-2947.
9. ↑ Tillemans, Axel (January 17, 2009). "Japaner wollen Energie teleportieren". Wissenschaft.de. http://www.wissenschaft.de/wissenschaft/hintergrund/298859.html.
10. ↑ KFC (February 3, 2010). "Physicist Discovers How to Teleport Energy". Technology Review published by MIT. http://www.technologyreview.com/blog/arxiv/24759/.
11. ↑ Ouellette, Jennifer (February 4, 2010). "Teleporting Energy". Discovery News. http://news.discovery.com/space/teleporting-energy.html.
12. ↑ Klie-Cribb, Mathew (February 17, 2010). "New Teleportation Technique Helps Physicists Understand the Universe". Canadian Geographic Compass Blog. http://www.canadiangeographic.ca/blog/posting.asp?ID=220.
13. ↑ Fox, Stuart (February 4, 2010). "Physicists Prove Teleportation of Energy Is Possible". Popular Science. http://www.popsci.com/science/article/2010-02/physicists-prove-teleportation-energy-theoretically-possible. Retrieved 2011-01-13.
14. ↑ Bennett, Charles H.; Brassard, Gilles; Crépeau, Claude; Jozsa, Richard; Peres, Asher; Wootters, William K. (1993-03-29). "Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels". Physical Review Letters (American Physical Society (APS)) 70 (13): 1895–1899. doi:10.1103/physrevlett.70.1895. ISSN 0031-9007.
15. ↑ Bouwmeester, Dik; Pan, Jian-Wei; Mattle, Klaus; Eibl, Manfred; Weinfurter, Harald; Zeilinger, Anton (1997). "Experimental quantum teleportation". Nature (Springer Nature) 390 (6660): 575–579. doi:10.1038/37539. ISSN 0028-0836.
16. ↑ Furusawa, A. (1998-10-23). "Unconditional Quantum Teleportation". Science (American Association for the Advancement of Science (AAAS)) 282 (5389): 706–709. doi:10.1126/science.282.5389.706.
17. ↑ Jin, Xian-Min; Ren, Ji-Gang; Yang, Bin; Yi, Zhen-Huan; Zhou, Fei; Xu, Xiao-Fan; Wang, Shao-Kai; Yang, Dong et al. (2010). "Experimental free-space quantum teleportation". Nature Photonics 4 (6): 376–381. doi:10.1038/nphoton.2010.87. Bibcode: 2010NaPho...4..376J.
18. ↑ Masahiro, Hotta. "Quantum Energy Teleportation: An Introductory Review". http://www.tuhep.phys.tohoku.ac.jp/~hotta/extended-version-qet-review.pdf.
19. ↑ Yusa, Go; Izumida, Wataru; Hotta, Masahiro (2011-09-26). "Quantum energy teleportation in a quantum Hall system". Physical Review A (American Physical Society (APS)) 84 (3): 032336. doi:10.1103/physreva.84.032336. ISSN 1050-2947.

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