Spin-orbit-coupled quantum memory of a double quantum dot

Abstract

The concept of quantum memory plays an incisive role in the quantum information theory. As confirmed by several recent rigorous mathematical studies, the quantum memory inmate in the bipartite system ${\rho }_{AB}$ can reduce uncertainty about the part $B$, after measurements done on the part $A$. In the present work, we extend this concept to the systems with a spin-orbit coupling and introduce a notion of spin-orbit quantum memory. We self-consistently explore Uhlmann fidelity, pre and post measurement entanglement entropy and post measurement conditional quantum entropy of the system with spin-orbit coupling and show that measurement performed on the spin subsystem decreases the uncertainty of the orbital part. The uncovered effect enhances with the strength of the spin-orbit coupling. We explored the concept of macroscopic realism introduced by Leggett and Garg and observed that POVM measurements done on the system under the particular protocol are non-noninvasive. For the extended system, we performed the quantum Monte Carlo calculations and explored reshuffling of the electron densities due to the external electric field.

arXiv commentaccepted in Phys. Rev. B

References in corpus (53)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Computation with Quantum Dots
• Quantum information with continuous variables
• Gaussian Quantum Information
• Introducing Quantum Discord
• Spins in few-electron quantum dots
• Classical, quantum and total correlations
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Single-shot read-out of an individual electron spin in a quantum dot
• On the volume of the set of mixed entangled states
• The Role of Relative Entropy in Quantum Information Theory
• The Uncertainty Principle in the Presence of Quantum Memory
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Extremal entanglement and mixedness in continuous variable systems
• Entropic Uncertainty Relations and their Applications
• Bound entangled Gaussian states
• Entropic uncertainty relations - A survey
• Zeeman energy and spin relaxation in a one-electron quantum dot
• Measures and applications of quantum correlations
• Generation of Continuous Variable Einstein-Podolsky-Rosen Entanglement via the Kerr Nonlinearity in an Optical Fibre
• Allowed and forbidden transitions in artificial hydrogen and helium atoms
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• Jastrow correlation factor for atoms, molecules, and solids
• Orbital mechanisms of electron spin manipulation by an electric field
• Inseparability criteria for bipartite quantum states
• Quantum Discord and Maxwell's Demons
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Witnessing Quantum Coherence: from solid-state to biological systems
• Quantum Dot as Spin Filter and Spin Memory
• Improved entropic uncertainty relations and information exclusion relations
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Universal set of quantum gates for double-dot spin qubits with fixed interdot coupling
• Population dynamics method with a multi-canonical feedback control
• Singlet-triplet splitting in double quantum dots due to spin orbit and hyperfine interactions
• Exchange coupling in silicon quantum dots: Theoretical considerations for quantum computation
• Efficient electron spin manipulation in a quantum well by an in-plane electric field
• Spin dynamics in a strongly driven system: very slow Rabi oscillations
• Pulsed-gate measurements of the singlet-triplet relaxation time in a two-electron double quantum dot
• Non-destructive measurement of electron spins in a quantum dot
• Maximum violations of the quantum-witness equality
• Leggett-Garg inequalities and the geometry of the cut polytope
• Reducing the entropic uncertainty lower bound in the presence of quantum memory via local operation and classical communication
• Optimal experimental demonstration of error-tolerant quantum witnesses
• Spin-Orbit Interactions in Electronic Structure Quantum Monte Carlo
• Nuclear Dynamics During Landau-Zener Singlet-Triplet Transitions in Double Quantum Dots
• Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
• Von Neumann spin measurements with Rashba fields
• Nonlinear Spin-Charge Dynamics in a Driven Double Quantum Dot
• Quantum Monte Carlo with variable spins: fixed-phase and fixed-node approximations
• Fundamental limits for non-destructive measurement of a single spin by Faraday rotation
• Entanglement like properties in Spin-Orbit Coupled Ultra Cold Atom and violation of Bell like Inequality

Cited by in corpus (4)

• Thermal entanglement and correlated coherence in two coupled double quantum dots systems
• Thermal entanglement and quantum coherence of a single electron in a double quantum dot with Rashba Interaction
• Quantum discord and entropic measures of two relativistic fermions
• Random spin-orbit gates in the system of a Topological insulator and a Quantum dot