Cloning and Joint Measurements of Incompatible Components of Spin
arXiv:quant-ph/0601098 · doi:10.1103/PhysRevA.73.062319
Abstract
A joint measurement of two observables is a {\it simultaneous} measurement of both quantities upon the {\it same} quantum system. When two quantum-mechanical observables do not commute, then a joint measurement of these observables cannot be accomplished by projective measurements alone. In this paper we shall discuss the use of quantum cloning to perform a joint measurement of two components of spin associated with a qubit system. We introduce a cloning scheme which is optimal with respect to this task. This cloning scheme may be thought to work by cloning two components of spin onto its outputs. We compare the proposed cloning machine to existing cloners.
arXiv comment7 pages, 2 figures, submitted to PRA
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Cited by in corpus (13)
- Quantum Cloning Machines and the Applications
- Coexistence of qubit effects
- Duality relations in a two-path interferometer with an asymmetric beam splitter
- Biomimetic Cloning of Quantum Observables
- Approximate joint measurement of qubit observables through an Arthur-Kelly type model
- Estimating the expectation values of spin 1/2 observables with finite resources
- Trace distance from the viewpoint of quantum operation techniques
- Determining complementary properties with quantum clones
- Quantum measurements of atoms using cavity QED
- Entropic uncertainties for joint quantum measurements
- Approximate joint measurements of qubit observables
- Optimal simultaneous measurements of incompatible observables of a single photon
- Virtual Cloning of Quantum States