Entanglement-assisted local operations and classical communications conversion in the quantum critical systems

Abstract

Conversions between the ground states in quantum critical systems via entanglement-assisted local operations and classical communications (eLOCC) are studied. We propose a new method to reveal the different convertibility by local operations when a quantum phase transition occurs. We have studied the ground state local convertibility in the one dimensional transverse field Ising model, XY model and XXZ model. It is found that the eLOCC convertibility sudden changes at the phase transition points. In transverse field Ising model the eLOCC convertibility between the first excited state and the ground state are also distinct for different phases. The relation between the order of quantum phase transitions and the local convertibility is discussed.

7 pages, 5 figures, 5 tables

References in corpus (22)

• Experimental quantum teleportation
• Quantum Computing
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Quantum Phase Transitions and Bipartite Entanglement
• Quantum discord and quantum phase transition in spin chains
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Ground state fidelity from tensor network representations
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Ground-state fidelity in one-dimensional gapless model
• Unusual Corrections to Scaling in Entanglement Entropy
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Catalytic Conversion Probabilities for Bipartite Pure States
• Necessary and Sufficient Conditions for the Trumping Relation
• Quantum Fidelity and Thermal Phase Transitions
• Fidelity approach to the disordered quantum XY model
• Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
• Corrections to scaling for block entanglement in massive spin-chains
• Quantum information approach to the quantum phase transition in the Kitaev honeycomb model
• Out-of-equilibrium Correlated Systems : Bipartite Entanglement as a Probe of Thermalization
• Momentum-space analysis of multipartite entanglement at quantum phase transitions

Cited by in corpus (9)

• Coherence susceptibility as a probe of quantum phase transitions
• Quantum phases with differing computational power
• Approximate transformations of bipartite pure-state entanglement from the majorization lattice
• Entanglement rates for Renyi, Tsallis and other entropies
• One-way deficit and quantum phase transitions in $XY$ model and extended Ising model
• Non universality of entanglement convertibility
• Majorization relation in quantum critical systems
• Phase diagram of quantum critical system via local convertibility of ground state
• One-way deficit and quantum phase transitions in $XX$ Model