Construction of Three-Qubit Kochen-Specker Sets

• Authors: S. Toh
• Languages of publication: EN

Abstracts

EN

Contextuality is one of the fundamental deviations of quantum mechanics from classical physics. The Kochen-Specker theorem shows that non-contextual classical physics with hidden variables is inconsistent with the predictions of quantum mechanics. Parity proof is one of the many different approaches applied to prove Kochen-Specker theorem for quantum system with different dimensionality. This method of proof requires Kochen-Specker sets that were composed of an odd number of bases and an even number of projectors. In most of the cases, the number of Kochen-Specker sets produced is large and its production is generally aided by computer calculation. However, manual generation of the Kochen-Specker sets are also reported previously for qutrit and two-qubit systems. We put forward the first and surprisingly simple method to generate manually Kochen-Specker sets, with respect to the Mermin pentagram, that can be used for the parity proof of the Kochen-Specker theorem in a state space of eight-dimensional three-qubit system.

Keywords

EN

03.65.Aa; 03.65.Ta; 42.50.Dv

Discipline

• 03.65.Ta: Foundations of quantum mechanics; measurement theory(for optical tests of quantum theory, see 42.50.Xa)
• 03.65.Aa: Quantum systems with finite Hilbert space
• 42.50.Dv: Quantum state engineering and measurements(see also 03.65.Ud Entanglement and quantum nonlocality, e.g., EPR paradox, Bells inequalities, GHZ states, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 3
• Pages: 273-277

Dates

published

2016-03

received

2015-01-20

(unknown)

2016-02-24

Contributors

author

S. Toh

• Faculty of Engineering, The University of Nottingham Malaysia Campus, Jalan Broga, 43500 Semenyih, Selangor Darul Ehsan, Malaysia

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Identifiers

DOI

10.12693/APhysPolA.129.273