Quantum Speed Limit for Perfect State Transfer in One Dimension

Abstract

The basic idea of spin chain engineering for perfect quantum state transfer (QST) is to find a set of coupling constants in the Hamiltonian, such that a particular state initially encoded on one site will evolve freely to the opposite site without any dynamical controls. The minimal possible evolution time represents a speed limit for QST. We prove that the optimal solution is the one simulating the precession of a spin in a static magnetic field. We also argue that, at least for solid-state systems where interactions are local, it is more realistic to characterize the computation power by the couplings than the initial energy.

5 pages, no figure; improved version

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Cited by in corpus (80)

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• Experimental Perfect Quantum State Transfer
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• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Mechanism for quantum speedup in open quantum systems
• Speed limits for quantum gates in multi-qubit systems
• Robustness of spin-coupling distributions for perfect quantum state transfer
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• State transfer in static and dynamic spin chains with disorder
• Automatic spin-chain learning to explore the quantum speed limit
• Fast and robust quantum state transfer via a topological chain
• Coherent state transfer via highly mixed quantum spin chains
• Speed Limits for Macroscopic Transitions
• Quantum state transfer and time-dependent disorder in Quantum Chains
• All-Resonant Control of Superconducting Resonators
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• Perfect quantum state transfer with spinor bosons on weighted graphs
• Quantum Information Processing with Delocalized Qubits under Global Control
• Universal Existence of Exact Quantum State Transmissions in Interacting Media
• Arbitrary entangled state transfer via a topological qubit chain
• The roles of drift and control field constraints upon quantum control speed limits
• Quantum dynamical speedup in correlated noisy channels
• Quantum speed limit of a photon under non-Markovian dynamics
• Iterative quantum state transfer along a chain of nuclear spin qubits
• The quantum computational speed of a single Cooper Pair box
• High fidelity transfer of an arbitrary quantum state between harmonic oscillators
• Quantum Error Correction for State Transfer in Noisy Spin Chains
• Almost exact state transfer in a spin chain via pulse control
• Spin Star as Switch for Quantum Networks
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• Quantum Control in Open and Periodically Driven Systems
• Mixed-state quantum transport in correlated spin networks
• Perfect transference of a d-level quantum state over pseudo-distance-regular networks
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings
• Generating Quantum States through Spin Chain Dynamics
• Quantum state transfer in spin chains with q-deformed interaction terms
• Fault-Tolerant Exact State Transmission
• Precision is not limited by the second law of thermodynamics
• Coherent Transport in Photonic Lattices: A Survey of Recent Analytic Results
• Fast, high precision dynamics in quantum optimal control theory
• Quantum speedup, non-Markovianity and formation of bound state
• Combatting the Effects of Disorder in Quantum State Transfer
• Role of interference in quantum state transfer through spin chains
• Controlling speedup in open quantum systems through the manipulating of system-reservoir bound states
• High fidelity state transfer in binary tree spin networks
• Breaking the Speed Limit for Perfect Quantum State Transfer
• Graph state generation with noisy mirror-inverting spin chains
• Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
• Tailoring Spin Chain Dynamics for Fractional Revivals
• Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system
• Perfect Coding for Dephased Quantum State Transfer
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• Parity-dependent state transfer for direct entanglement generation
• A general algorithm for manipulating non-linear and linear entanglement witnesses by using exact convex optimization
• Achievable Qubit Rates for Quantum Information Wires
• State transfer in an inhomogeneous spin chain
• Co-Processors for Quantum Devices
• Modified quantum-speed-limit bounds for open quantum dynamics in quantum channels
• Quantum simulation of the Riemann-Hurwitz zeta function
• Quantum speed limit for the maximum coherent state under squeezed environment
• Quasi-Perfect State Transfer in Spin Chains via Parametrization of On-Site Energies
• Controlling the quantum computational speed
• Noise reducing encoding strategies for spin chains
• Propagation of local excitations through strongly correlated quantum chains
• Quantum states experimentally achieving high-fidelity transmission over a spin chain
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
• The orthogonality speed of two-qubit state interacts locally with spin chain in the presence of Dzyaloshinsky-Moriya interaction
• Environment-Mediated Quantum State Transfer
• Perfect state transfer using Markovian quantum walk
• Effective non-local parity-dependent couplings in qubit chains
• Modulating quantum evolution of moving-qubit by using classical driving
• Incorporating Encoding into Quantum System Design