Journal Article10.1016/0375-9601(87)90222-2
How to differentiate between non-orthogonal states
791
TL;DR: In this article, a generalized measurement can be constructed which performs this task better than any combination of standard quantum measurements, and it is shown that the generalized measurement performs better than a combination of quantum measurements.
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About: This article is published in Physics Letters A. The article was published on 17 Aug 1987. The article focuses on the topics: One-way quantum computer & Quantum algorithm.
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Citations
Distinguishing Quantum States with Holevo Bound and Its Application to Spatially Separated Bell States
TL;DR: In this article, the Holevo bound was used to distinguish spatially separated Bell states. But it was shown that a single copy of a Bell state cannot be distinguished under local operation and classical communication (LOCC), but it can be identified with an ancillary qubit.
Unconditional security of the Bennett 1992 quantum key-distribution protocol over a lossy and noisy channel
TL;DR: It is shown that the security proof of the Bennett 1992 protocol over loss-free channel given by Tamaki, Koashi, and Imoto can be adapted to accommodate loss.
Discrimination of quantum observables using limited resources
TL;DR: In this paper, it was shown that perfect discrimination with two shots is possible only for sharp qubit observables (e.g., Stern-Gerlach apparatuses) associated with mutually orthogonal directions.
Unambiguous State Discrimination of Coherent States with Linear Optics: Application to Quantum Cryptography
TL;DR: In this article, the authors discuss several methods for unambiguous state discrimination of N symmetric coherent states using linear optics and photodetectors, and show that one type of measurement is shown to be optimal in the limit of small photon numbers for any N.
Minimax discrimination of two Pauli channels
TL;DR: The optimal input state at the channel is found and the conditions under which using entanglement strictly enhances distinguishability are shown, and the minimax strategy is compared with the Bayesian one.
References
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Mathematical Foundations of Quantum Mechanics
John von Neumann
- 01 Jan 1955
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
5.2K
Mathematical Foundations of Quantum Mechanics
John von Neumann
- 01 Jan 1996
TL;DR: The Mathematical Foundations of Quantum Mechanics as discussed by the authors is a seminal work in theoretical physics that introduced the theory of Hermitean operators and Hilbert spaces and provided a mathematical framework for quantum mechanics.
4.4K
Formal state determination
TL;DR: Park and Band as discussed by the authors showed that any state of a quantal ensemble allowed by the Hilbert space formulation of nonrelativistic quantum mechanics can be determined from the results of measurements, under the assumption that all measurements, those of energy, position, and spin projection, are in accordance with the projection postulate.