Quantum information in base n defined by state partitions

Abstract

We define a "nit" as a radix n measure of quantum information which is based on state partitions associated with the outcomes of n-ary observables and which, for n>2, is fundamentally irreducible to a binary coding. Properties of this measure for entangled many-particle states are discussed. k particles specify k nits in such a way that k mutually commuting measurements of observables with n possible outcomes are sufficient to determine the information.

4 pages, 2 figures

References in corpus (1)

• Finding a state in a haystack

Cited by in corpus (13)

• Quantum Hocus Pocus
• Quantum information via state partitions and the context translation principle
• Roots and (re)sources of value (in)definiteness versus contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)
• Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis
• Eutactic quantum codes
• On the solution of trivalent decision problems by quantum state identification
• Orthogonal vector computations
• A note on the statistical sampling aspect of delayed choice entanglement swapping
• Space and time in a quantized world
• Quantum queries associated with equi-partitioning of states and multipartite relational encoding across space-time
• Vector computation
• Quantum advantage by relational queries about physically realizable equivalence classes
• Locating possible sources of physical indeterminism