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

References in corpus (6)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Mirror Inversion of Quantum States in Linear Registers
• Spin Chains as Perfect Quantum State Mirrors
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• From perfect to fractal transmission in spin chains
• Geometric Effects and Computation in Spin Networks

Cited by in corpus (16)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• State Transfer and Spin Measurement
• Optimal quantum chain communication by end gates
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Perfect state transfer over distance-regular spin networks
• Perfect quantum state transfer with spinor bosons on weighted graphs
• Quantum Information Processing with Delocalized Qubits under Global Control
• Iterative quantum state transfer along a chain of nuclear spin qubits
• High fidelity transfer of an arbitrary quantum state between harmonic oscillators
• Perfect transference of a d-level quantum state over pseudo-distance-regular networks
• Role of interference in quantum state transfer through spin chains
• High fidelity state transfer in binary tree spin networks
• Graph state generation with noisy mirror-inverting spin chains
• A general algorithm for manipulating non-linear and linear entanglement witnesses by using exact convex optimization
• Controlling the quantum computational speed
• Environment-Mediated Quantum State Transfer