Highly noise resistant multiqubit quantum correlations

Wiesław Laskowski, T. Vértesi, Marcin Wies̈niak

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We analyze robustness of correlations of the N-qubit GHZ and Dicke states against white noise admixture. For sufficiently large N, the Dicke states (for any number of excitations) lead to more robust violation of local realism than the GHZ states (e.g. for N > 8 for the W state). We also identify states that are the most resistant to white noise. Surprisingly, it turns out that these states are the GHZ states augmented with fully product states. Based on our numerical analysis conducted up to N = 8, and an analytical formula derived for any N parties, we conjecture that the three-qubit GHZ state augmented with a product of (N - 3) pure qubits is the most robust against white noise admixture among any N-qubit state. As a by-product, we derive a single Bell inequality and show that it is violated by all pure entangled states of a given number of parties. This gives an alternative proof of Gisin's theorem.

Original languageEnglish
Article number465301
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number46
DOIs
Publication statusPublished - Oct 26 2015

Fingerprint

GHZ State
White noise
Qubit
white noise
admixtures
products
Bell's Inequality
bells
numerical analysis
Byproducts
Numerical analysis
Entangled State
theorems
Numerical Analysis
Excitation
Robustness
excitation
Alternatives
Theorem

Keywords

  • entanglement
  • violation of local realism
  • white noise

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Highly noise resistant multiqubit quantum correlations. / Laskowski, Wiesław; Vértesi, T.; Wies̈niak, Marcin.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 46, 465301, 26.10.2015.

Research output: Contribution to journalArticle

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