Discrete phase space and minimum-uncertainty states
Abstract
The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of a "rotationally invariant state" of any collection of qubits, and that any such state is, in a well defined sense, a state of minimum uncertainty.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2007
- DOI:
- 10.48550/arXiv.0704.1277
- arXiv:
- arXiv:0704.1277
- Bibcode:
- 2007arXiv0704.1277W
- Keywords:
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- Quantum Physics
- E-Print:
- Submitted to the proceedings of QCMC06