Efficient synthesis of quantum gates on indirectly coupled spins

Abstract

Experiments in coherent nuclear and electron magnetic resonance,and quantum computing in general correspond to control of quantum mechanical systems, guiding them from initial to final target states by unitary transformations. The control inputs (pulse sequences) that accomplish these unitary transformations should take as little time as possible so as to minimize the effects of relaxation and decoherence and to optimize the sensitivity of the experiments. Here, we derive a time-optimal sequences as fundamental building blocks for synthesize unitary transformations. Such sequences can be widely implemented on various physical systems, including the simulation of effective Hamiltonians for topological quantum computing on spin lattices. Experimental demonstrations are provided for a system consisting of three nuclear spins.

10 pages

References in corpus (5)

• Elliptic functions and efficient control of Ising spin chains with unequal couplings
• Time-Optimal Transfer of Coherence
• Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
• Geodesics for Efficient Creation and Propagation of Order along Ising Spin Chains
• Time-optimal Unitary Operations in Ising Chains II: Unequal Couplings and Fixed Fidelity

Cited by in corpus (7)

• Training Schrödinger's cat: quantum optimal control
• Minimum-Time Selective Control of Homonuclear Spins
• Time-optimal polarization transfer from an electron spin to a nuclear spin
• Experimental implementation of quantum gates through actuator qubits
• Exact solutions for time-optimal control of spin I=1 by NMR
• Brachistochrone of Entanglement for Spin Chains
• Time optimal control in coupled spin systems: a second order analysis