Time-Optimal Transfer of Coherence

Abstract

We provide exact analytical solutions for the problem of time-optimal transfer of coherence from one spin polarization to a three-fold coherence in a trilinear Ising chain with a fixed energy available and subject to local controls with a non negligible time cost. The time of transfer is optimal and consistent with a previous numerical result obtained assuming instantaneous local controls.

Published version (with typos in eqs. (25)-(27) corrected)

References in corpus (4)

• Communication at the quantum speed limit along a spin chain
• Elliptic functions and efficient control of Ising spin chains with unequal couplings
• Multiple-spin coherence transfer in linear Ising spin chains and beyond: numerically-optimized pulses and experiments
• Geodesics for Efficient Creation and Propagation of Order along Ising Spin Chains

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• Minimum-Time Selective Control of Homonuclear Spins
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
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• Efficient synthesis of quantum gates on indirectly coupled spins
• Compensating for non-linear distortions in controlled quantum systems
• Time-optimal polarization transfer from an electron spin to a nuclear spin
• Fast Evolution of Single Qubit Gate in Non-Adiabatic Geometric Quantum Computing
• Optimizing state transfer in a three-qubit array via quantum brachistochrone method
• Brachistochrone of Entanglement for Spin Chains
• Time Optimal Quantum Control of Spinor States
• Global phase and minimum time of quantum Fourier transform for qudits represented by quadrupole nuclei