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quant-phApr 10, 2007
31
citations (OpenAlex)
authors
  • William K. Wootters
  • Daniel M. Sussman
arXiv abstractPDF
paper

Discrete phase space and minimum-uncertainty states

arXiv:0704.1277

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.

Submitted to the proceedings of QCMC06

Cited by in corpus (16)

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  • From SICs and MUBs to Eddington
  • QBism: Quantum Theory as a Hero's Handbook
  • Maximum nonlocality and minimum uncertainty using magic states
  • Mutually unbiased frames
  • States that are far from being stabilizer states
  • Systems of Imprimitivity for the Clifford Group
  • Deriving the Qubit from Entropy Principles
  • Rényi Entropy, Signed Probabilities, and the Qubit
  • Studies of symmetries that give special quantum states the "right to exist"
  • Invariant Off-Diagonality: SICs as Equicoherent Quantum States
  • Maximally symmetric stabilizer MUBs in even prime-power dimensions
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