Experimental realization of any discrete unitary operator
- 4 July 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (1) , 58-61
- https://doi.org/10.1103/physrevlett.73.58
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×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.Keywords
This publication has 30 references indexed in Scilit:
- Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channelsPhysical Review Letters, 1993
- Finite violation of a Bell inequality for arbitrarily large spinPhysical Review A, 1992
- Maximal violation of Bell's inequality for arbitrarily large spinPhysics Letters A, 1992
- Quantum cryptography based on Bell’s theoremPhysical Review Letters, 1991
- Two simple proofs of the Kochen-Specker theoremJournal of Physics A: General Physics, 1991
- Bell Inequalities with a Range of Violation That Does Not Diminish as the Spin Becomes Arbitrarily Large.Physical Review Letters, 1982
- Bell Inequalities with a Range of Violation that Does Not Diminish as the Spin Becomes Arbitrarily LargePhysical Review Letters, 1982
- Generalized Stern–Gerlach experiments and the observability of arbitrary spin operatorsJournal of Mathematical Physics, 1980
- The lattice of verifiable propositions of the spin-1 systemJournal of Mathematical Physics, 1977
- On the Problem of Hidden Variables in Quantum MechanicsReviews of Modern Physics, 1966