Decoherence, Entanglement Negativity and Circuit Complexity for Open Quantum System
arXiv:2210.09268 · doi:10.1103/PhysRevD.107.106007
Abstract
In this paper, we compare the saturation time scales for complexity, linear entropy and entanglement negativity for two open quantum systems. Our first model is a coupled harmonic oscillator, where we treat one of the oscillators as the bath. The second one is a type of Caldeira Leggett model, where we consider a one-dimensional free scalar field as the bath. Using these open quantum systems, we discovered that both the complexity of purification and the complexity from operator state mapping is always saturated for a completely mixed state. More explicitly, the saturation time scale for both types of complexity is smaller than the saturation time scale for linear entropy. On top of this, we found that the saturation time scale for linear entropy and entanglement negativity is of the same order for the Caldeira Leggett model.
arXiv comment40 pages, 8 figures
References in corpus (96)
- Quantum entanglement
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Decoherence, einselection, and the quantum origins of the classical
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantifying Coherence
- Peres-Horodecki separability criterion for continuous variable systems
- The logarithmic negativity: A full entanglement monotone that is not convex
- Measuring Quantum Coherence with Entanglement
- Complexity Equals Action
- Fundamental limitations for quantum and nano thermodynamics
- Complexity and Shock Wave Geometries
- Chaos in quantum channels
- Extremal entanglement and mixedness in continuous variable systems
- Complexity, action, and black holes
- Quantum Computation as Geometry
- Observable measure of quantum coherence in finite dimensional systems
- Entanglement negativity in quantum field theory
- Quantum Decoherence
- Circuit complexity in quantum field theory
- Work extraction and thermodynamics for individual quantum systems
- Towards Complexity for Quantum Field Theory States
- A Universal Operator Growth Hypothesis
- Maximal entanglement versus entropy for mixed quantum states
- A comparison of entanglement measures
- Comments on Holographic Complexity
- Entanglement negativity in extended systems: A field theoretical approach
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Maximally entangled mixed states of two qubits
- A review of progress in the physics of open quantum systems: theory and experiment
- Decoherence, Chaos, and the Correspondence Principle
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Circuit Complexity in Fermionic Field Theory
- Maximally entangled mixed states in two qubits
- Complexity and entanglement for thermofield double states
- Quantum Computation as Gravity
- A comparison of the entanglement measures negativity and concurrence
- Circuit complexity for free fermions
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Finite temperature entanglement negativity in conformal field theory
- Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
- Circuit complexity in interacting QFTs and RG flows
- Maximally coherent mixed states: Complementarity between maximal coherence and mixedness
- Entanglement negativity in the harmonic chain out of equilibrium
- Determination of continuous variable entanglement by purity measurements
- Einstein's Equations from Varying Complexity
- Operator growth and Krylov construction in dissipative open quantum systems
- Entanglement negativity after a global quantum quench
- Circuit Complexity for Coherent States
- Entanglement negativity and topological order
- Mixed state sensitivity of several quantum information benchmarks
- Complexity as a novel probe of quantum quenches: universal scalings and purifications
- Negativity and topological order in the toric code
- Path-Integral Complexity for Perturbed CFTs
- Time Evolution of Complexity: A Critique of Three Methods
- Chaos and Complexity in Quantum Mechanics
- Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
- The entanglement negativity in random spin chains
- A Quantum to Classical Phase Transition in Noisy Quantum Computers
- Entanglement negativity in the critical Ising chain
- Entangling oscillators through environment noise
- Complexity of Mixed States in QFT and Holography
- Entanglement negativity and entropy in non-equilibrium conformal field theory
- Entanglement negativity after a local quantum quench in conformal field theories
- Complexity for Conformal Field Theories in General Dimensions
- Geometry of Complexity in Conformal Field Theory
- Negativity spectrum of one-dimensional conformal field theories
- Renormalized Circuit Complexity
- Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
- Entanglement negativity via replica trick: a Quantum Monte Carlo approach
- Cosmological Complexity
- The Multi-faceted Inverted Harmonic Oscillator: Chaos and Complexity
- Topological entanglement negativity in Chern-Simons theories
- Spread Complexity and Topological Transitions in the Kitaev Chain
- Entanglement negativity and conformal field theory: a Monte Carlo study
- Complexity Growth in Integrable and Chaotic Models
- Universal scaling of the logarithmic negativity in massive quantum field theory
- Circuit Complexity across a Topological Phase Transition
- Out-of-time-order correlators in finite open systems
- Post-Quench Evolution of Complexity and Entanglement in a Topological System
- The Rise of Cosmological Complexity: Saturation of Growth and Chaos
- Entanglement of Purification in Free Scalar Field Theories
- Complexity for Charged Thermofield Double States
- Entanglement of Purification in Many Body Systems and Symmetry Breaking
- Complexity from the Reduced Density Matrix: a new Diagnostic for Chaos
- Circuit complexity for generalised coherent states in thermal field dynamics
- Decoherence in Conformal Field Theory
- Complexity of mixed Gaussian states from Fisher information geometry
- Complexity and Momentum
- Deformation and the Complexity=Volume Conjecture
- Charged Complexity and the Thermofield Double State
- The Squeezed OTOC and Cosmology
- Complexity for Open Quantum System
- Out of Time Ordered Quantum Dissipation
- Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
- Saturation of Thermal Complexity of Purification
Cited by in corpus (10)
- A universal approach to Krylov State and Operator complexities
- Quantum complexity in gravity, quantum field theory, and quantum information science
- Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
- The Early Universe as an Open Quantum System: Complexity and Decoherence
- Inflationary Krylov complexity
- Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information
- Universal Early-Time Growth in Quantum Circuit Complexity
- Probing the self-coherence of primordial quantum fluctuations with complexity
- Spread Complexity of High Energy Neutrino Propagation over Astrophysical Distances
- Relaxation dynamics in the (double) sine-Gordon model: An open-system viewpoint