# Wigner–Yanase skew information and quantum phase transition in one-dimensional quantum spin-1/2 chains

Wigner–Yanase skew information and quantum phase transition in one-dimensional quantum spin-1/2... The quantum coherence based on Wigner–Yanase skew information and its relations with quantum phase transitions (QPTs) in one-dimensional quantum spin-1/2 chains are studied. Different from those at the critical point (CP) of the Ising transition in the transverse-field XY chain, the single-spin quantum coherence and the two-spin local $$\sigma ^z$$ σ z quantum coherence are extremal at the CP of the anisotropy transition, and the first-order derivatives of the two-spin local $$\sigma ^x$$ σ x and $$\sigma ^y$$ σ y quantum coherence have logarithmic divergence with the chain size. For the QPT between the gapped and gapless phases in the chain with three-spin interactions, however, no finite-size scaling behavior of the derivatives of quantum coherence is found. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Wigner–Yanase skew information and quantum phase transition in one-dimensional quantum spin-1/2 chains

Quantum Information Processing, Volume 15 (4) – Jan 25, 2016
15 pages

/lp/springer-journals/wigner-yanase-skew-information-and-quantum-phase-transition-in-one-uKaBEQZedB
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-016-1244-9
Publisher site
See Article on Publisher Site

### Abstract

The quantum coherence based on Wigner–Yanase skew information and its relations with quantum phase transitions (QPTs) in one-dimensional quantum spin-1/2 chains are studied. Different from those at the critical point (CP) of the Ising transition in the transverse-field XY chain, the single-spin quantum coherence and the two-spin local $$\sigma ^z$$ σ z quantum coherence are extremal at the CP of the anisotropy transition, and the first-order derivatives of the two-spin local $$\sigma ^x$$ σ x and $$\sigma ^y$$ σ y quantum coherence have logarithmic divergence with the chain size. For the QPT between the gapped and gapless phases in the chain with three-spin interactions, however, no finite-size scaling behavior of the derivatives of quantum coherence is found.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 25, 2016

### References

• Quantum entanglement
Horodecki, R; Horodecki, P; Horodecki, M; Horodecki, K

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