Scaling of the local quantum uncertainty at quantum phase transitions

Abstract

We investigate the local quantum uncertainty (LQU) between a block of L qubits and one single qubit in a composite system of n qubits driven through a quantum phase transition (QPT). A first-order QPT is analytically considered through a Hamiltonian implementation of the quantum search. In the case of second-order QPTs, we consider the transverse-field Ising chain via a numerical analysis through density matrix renormalization group. For both cases, we compute the LQU for finite-sizes as a function of L and of the coupling parameter, analyzing its pronounced behavior at the QPT.

7 pages, 10 figures. v3: published version

References in corpus (5)

• The Physics of Maxwell's demon and information
• Quantum Phase Transitions and Bipartite Entanglement
• Quantum discord and quantum phase transition in spin chains
• Quantum coherence and uncertainty in the anisotropic XY chain
• Quantum uncertainty in critical systems with three spins interaction

Cited by in corpus (6)

• Measures and applications of quantum correlations
• Coherent and dissipative dynamics at quantum phase transitions
• Local quantum uncertainty for multipartite quantum systems
• Local quantum uncertainty of a two-qubit XY Heisenberg model with different Dzyaloshinskii-Moriya couplings
• Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
• Dynamics of local quantum uncertainty among cavity-reservoir qubits