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2018

Antidistinguishability of Pure Quantum States

Heinosaari, Teiko, Kerppo, Oskari

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The Pusey-Barrett-Rudolph theorem has recently provoked a lot of discussion regarding the reality of the quantum state.

In this article we focus on a property called antidistinguishability, which is a main component in constructing the proof for the PBR theorem.
In particular we study algebraic conditions for a set of pure quantum states to be antidistinguishable, and a novel sufficient condition is presented.
We also discuss a more general criterion which can be used to show that the sufficient condition is not necessary.

Antidistinguishability of Pure Quantum States · Around

Built on

Conditions for compatibility of quantum-state assignments
C.M. Caves, C.A. Fuchs, and R. Schack · 2002
Earlier work this paper cites.
Contextuality for preparations, transformations, and unsharp measurements
R.W. Spekkens · 2005
Earlier work this paper cites.
Evidence for the epistemic view of quantum states: A toy theory
R.W. Spekkens · 2007
Earlier work this paper cites.
Einstein, incompleteness, and the epistemic view of quantum states
N. Harrigan and R.W. Spekkens · 2010
Earlier work this paper cites.

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On the reality of the quantum state
M.F. Pusey, J. Barrett, and T. Rudolph · 2012
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Is the Quantum State Real? An Extended Review of ψ \psi -ontology Theorems
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Then

Conclusive exclusion of quantum states
S. Bandyopadhyay, R. Jain, J. Oppenheim, and C. Perry · 2014
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A system’s wave function is uniquely determined by its underlying physical state
R. Colbeck and R. Renner · 2017
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Towards optimal experimental tests on the reality of the quantum state
G.C. Knee · 2017
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