On the coexistence of position and momentum observables
arXiv:quant-ph/0504168 · doi:10.1088/0305-4470/38/23/012
Abstract
We investigate the problem of coexistence of position and momentum observables. We characterize those pairs of position and momentum observables which have a joint observable.
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- Weak vs. approximate values in quantum state determination
- Coexistence does not imply joint measurability
- Universal joint-measurement uncertainty relation for error bars
- Quantum measurement incompatibility in subspaces
- Strong correspondence principle for joint measurement of conjugate observables
- Complementary observables in quantum mechanics
- Amount of quantum coherence needed for measurement incompatibility
- Inefficient eight-port homodyne detection and covariant phase space observables
- Intrinsic unsharpness and approximate repeatability of quantum measurements
- Electromagnetism in terms of quantum measurements
- On the complementarity of the quadrature observables
- Tilted phase space measurements