Journal Article10.1103/PHYSREVLETT.73.58
Experimental realization of any discrete unitary operator.
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TL;DR: An algorithmic proof that any discrete finite-dimensional unitary operator can be constructed in the laboratory using optical devices is given, and optical experiments with any type of radiation exploring higher-dimensional discrete quantum systems become feasible.
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Abstract: An algorithmic proof that any discrete finite-dimensional unitary operator can be constructed in the laboratory using optical devices is given. Our recursive algorithm factorizes any N\ifmmode\times\else\texttimes\fi{}N unitary matrix into a sequence of two-dimensional beam splitter transformations. The experiment is built from the corresponding devices. This also permits the measurement of the observable corresponding to any discrete Hermitian matrix. Thus optical experiments with any type of radiation (photons, atoms, etc.) exploring higher-dimensional discrete quantum systems become feasible.
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References
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett,Gilles Brassard,Claude Crépeau,Richard Jozsa,Asher Peres,William K. Wootters +5 more
TL;DR: An unknown quantum state \ensuremath{\Vert}\ensure Math{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.
14.7K
Quantum cryptography based on Bell's theorem.
TL;DR: Practical application of the generalized Bells theorem in the so-called key distribution process in cryptography is reported, based on the Bohms version of the Einstein-Podolsky-Rosen gedanken experiment andBells theorem is used to test for eavesdropping.
11.6K
On the Problem of Hidden Variables in Quantum Mechanics
TL;DR: The demonstrations of von Neumann and others, that quantum mechanics does not permit a hidden variable interpretation, are reconsidered in this article, and it is shown that their essential axioms are unreasonable.
SU(2) and SU(1,1) interferometers.
TL;DR: In this paper, a Lie-group-theoretical approach to the analysis of interferometers is presented, which can achieve phase sensitivity Δo approaching 1/N, where N is the total number of quanta entering the interferometer, provided that the light entering the input ports is prepared in a suitable quantum state.
1.4K
Hidden variables and the two theorems of John Bell
TL;DR: The Kochen-Specker Theorem as discussed by the authors is one of the most famous no-hidden-variables theorems, and it has transparently simple proofs, which can be converted without additional analysis into a powerful form of the Bell's Theorem.