Decoherence dynamics of entangled quantum states in the $XXX$ central spin model

Abstract

Maintaining coherence of a qubit is of vital importance for realizing a large-scale quantum computer in practice. In this work, we study the central spin decoherence problem in the $XXX$ central spin model (CSM) and focus on the quantum states with different initial entanglement, namely intra-bath entanglement or system-bath entanglement. We analytically obtain their evolutions of fidelity, entanglement, and quantum coherence. When the initial bath spins constitute an $N$-particle entangled state (the Greenberger-Horne-Zeilinger-bath or the $W$-bath), the leading amplitudes of their fidelity evolutions both scale as $\mathcal{O}(1/N)$, which is the same as the case of a fully polarized bath. However, when the central spin is maximally entangled with one of the bath spins, the amplitude scaling of its fidelity evolution declines from $\mathcal{O}(1/N)$ to $\mathcal{O}(1/N^2)$. That implies appropriate initial system-bath entanglement is contributive to suppress central spin decoherence. In addition, with the help of system-bath entanglement, we realize quantum coherence-enhanced dynamics for the central spin where the consumption of bath entanglement is shown to play a central role.

arXiv comment17 pages, 1 figures

References in corpus (40)

• Quantum entanglement
• Quantum Computation with Quantum Dots
• Three qubits can be entangled in two inequivalent ways
• Quantifying Coherence
• Quantum Coherence as a Resource
• Coupled quantum dots as quantum gates
• Quantum Communication Through an Unmodulated Spin Chain
• An addressable quantum dot qubit with fault-tolerant control fidelity
• Electron spin relaxation by nuclei in semiconductor quantum dots
• A single-atom electron spin qubit in silicon
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Robustness of coherence: An operational and observable measure of quantum coherence
• Exactly solvable Richardson-Gaudin models for many-body quantum systems
• Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
• Robustness of asymmetry and coherence of quantum states
• Electron spin evolution induced by interaction with nuclei in a quantum dot
• Assisted distillation of quantum coherence
• Quantum decoherence dynamics of divacancy spins in silicon carbide
• Conditions for coherence transformations under incoherent operations
• Quantum quenches in the many-body localized phase
• Coherence depletion in the Grover quantum search algorithm
• Optical pumping of quantum dot nuclear spins
• Operational Families of Entanglement Classes for Symmetric $N$-Qubit States
• Exact dynamics in the inhomogeneous central-spin model
• Experimental cyclic inter-conversion between Coherence and Quantum Correlations
• Entanglement Sharing and Decoherence in the Spin-Bath
• Collective quantum memory activated by a driven central spin
• Dynamics and decoherence in the central spin model using exact methods
• Effect of external magnetic field on electron spin dephasing induced by hyperfine interaction in quantum dots
• Spin polarization through Floquet resonances in a driven central spin model
• Master equation approach to the central spin decoherence problem: the uniform coupling model and the role of projection operators
• Spin State Transfer in Laterally Coupled Quantum Dot Chains with Disorders
• Exact quantum dynamics of XXZ central spin problems
• Coherence and Entanglement Monogamy in the Discrete Analogue of Analog Grover Search
• Detection and characterization of Many-Body Localization in Central Spin Models
• Coherence transformations in single qubit systems
• Decoherence of a single spin coupled to an interacting spin bath
• Entanglement evolution of a spin chain bath in driving the decoherence of a coupled quantum spin
• Fourth-order spin correlation function in the extended central spin model
• Natural Parameterization of Two-Qubit States