相対論的量子測定理論及び相対論的量子情報理論の研究
| Project/Area Number |
13F03757
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 外国 |
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| Research Field |
Environmental chemistry
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| Research Institution | Nagoya University |
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Principal Investigator |
小澤 正直 名古屋大学 (40126313)
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| Co-Investigator(Kenkyū-buntansha) |
PALGE VEIKO
PALGE Veiko 名古屋大学, 情報科学研究科, 外国人特別研究員
PALGE Veiko 名古屋大学, 情報科学研究科, 外国人特別研究員
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Adopted (Fiscal Year 2015)
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| Budget Amount *help |
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 2015: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2014: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2013: ¥400,000 (Direct Cost: ¥400,000)
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| Keywords | Quantum mechanics / Special relativity / Quantum information / Quantum communication |
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| Outline of Annual Research Achievements |
This project has the goal of extending quantum information theory to the relativistic domain by studying how relativity affects entangled systems. We focus on how Lorentz boosts change the entanglement of massive bipartite spin-1/2 systems in various geometries. Since these systems do not admit analytic treatment, we resort to numerical methods to calculate the concurrence of spin degrees of freedom of a two particle system with momenta in various product and entangled states, with the spins given by the Bell state. The momenta took the form of Gaussians and the geometry ensured that the spins undergo maximal Wigner rotation. We also obtained the diagonal representation of the spin state, allowing us to represent the spin orbits in a three dimensional manner, thereby giving further geometric insight into the behavior of the state. These results are significant because they extend the theory of entanglement to the relativistic regime. Entanglement means that quantum systems exhibit correlations which are not possible from the classical point of view. In quantum information theory entanglement is viewed as resource that promises new technologies which enable information processing tasks that are beyond the classical theory. Achieving a relativistic account of entanglement is important both from the theoretical and practical vantage point since the correct theory of reality is relativistic. These results contribute to the goal of explaining the behavior of quantum information in relativity; they also help extend applications of quantum information to relativistic systems.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
Results have been obtained for realistic systems whose momenta are characterized by wave packets, that is, Gaussians with finite width. They were studied in various boost configurations involving product and entangled momenta, and good match was found with some of the previous results that involved idealized systems. Various features of the continuous momenta under boosts were successfully explained using the properties of Wigner rotation as well as their geometric configuration. We have also obtained initial results for multi-boost scenarios which could lead to experimental verification of Wigner rotation at low speeds.
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| Strategy for Future Research Activity |
As a next step we plan to generalize the results obtained so far to achieve a closer relationship with quantum information theory. In particular, we plan to carry through a detailed analysis of whether the initial results about the multi-boost scenarios can be utilized to generate maximally entangled states by motion at non-relativistic speeds. Furthermore, we will then test the hypothesis that arbitrary single qubit unitaries including the CNOT gate could be implemented by motion alone at non-relativistic speeds. We will also tackle the question of whether it would be possible to extend the scheme to two-qubit unitaries.
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Report
(2 results)
Research Products
(1 results)
