Quantum information: How much information in a state vector?

Abstract

Quantum information refers to the distinctive information-processing properties of quantum systems, which arise when information is stored in or retrieved from nonorthogonal quantum states. More information is required to prepare an ensemble of nonorthogonal quantum states than can be recovered from the ensemble by measurements. Nonorthogonal quantum states cannot be distinguished reliably, cannot be copied or cloned, and do not lead to exact predictions for the results of measurements. These properties contrast sharply with those of information stored in the microstates of a classical system.

32 pages in plain TeX, to appear in Sixty Years of EPR, edited by A. Mann and M. Revzen, Ann. Phys. Soc., Israel, 1996

Cited by in corpus (23)

• In defense of the epistemic view of quantum states: a toy theory
• Quantum probabilities as Bayesian probabilities
• Unknown Quantum States: The Quantum de Finetti Representation
• Quantum Mechanics as Quantum Information (and only a little more)
• Quantum-Bayesian Coherence: The No-Nonsense Version
• Distinguishability and Accessible Information in Quantum Theory
• The completeness of quantum theory for predicting measurement outcomes
• Quantum from principles
• Quasi-quantization: classical statistical theories with an epistemic restriction
• Introduction to the book "Quantum Theory: Informational Foundations and Foils"
• Quantum information and physics: some future directions
• Quantum Foundations in the Light of Quantum Information
• Differential entropy and time
• QBism: Quantum Theory as a Hero's Handbook
• Quantum cobwebs: Universal entangling of quantum states
• Quantum mechanics is a calculus for estimation under epistemic restriction
• Which features of quantum physics are not fundamentally quantum but are due to indeterminism?
• Just Two Nonorthogonal Quantum States
• Quantum Theory as Efficient Representation of Probabilistic Information
• On a Supposed Conceptual Inadequacy of the Shannon Information in Quantum Mechanics
• Quantum cryptography with continuous alphabet
• Quantum partial coherence measures constructed from Fisher information
• Harmonic numbers as the summation of integrals