Abstract

We describe entangling quantum gates for trapped ions mediated by a dissipative bus mode and show that suitably designed, polychromatic control pulses decrease ion-phonon entanglement substantially while maintaining the mediated interaction. In particular for multi-qubit gates this yields a significant improvement in gate performance.

Highlights

  • The realization of quantum gates is the fundamental building block in the exploitation of quantum mechanical systems for purposes like the execution of quantum algorithms, digital quantum simulations, quantum teleportation or precision sensing [1, 2, 3, 4, 5]

  • In practice, a control scheme is desirable that is independent of the state of the bus mode and the exact form of its dissipation, we will refrain from optimizing the gate fidelity for very specific situations, but rather target solutions that yield good performance largely independent of bus mode properties

  • Since the fidelities of entangling gates are the current bottleneck in the effort to reach fault tolerance, the increased robustness with respect to dissipation in the bus mode promises to advance control over trapped ions substantially

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Summary

Introduction

The realization of quantum gates is the fundamental building block in the exploitation of quantum mechanical systems for purposes like the execution of quantum algorithms, digital quantum simulations, quantum teleportation or precision sensing [1, 2, 3, 4, 5]. Substantial progress towards the goal of making qubits independent of the bus mode decoherence was made in terms of the Mølmer-Sørensen (MS) gate [14]. It is independent of the state of the bus mode; that is, it is insensitive to any type of decoherence prior to the gate operation. This sensitivity can be reduced substantially through suitably chosen polychromatic driving even if decoherence of the bus mode can not be reduced As this improvement grows with the number of qubits involved in a gate, our approach promises to permit the high-fidelity realization of quantum algorithms or quantum simulations with imperfect hardware

Dissipative MS gate
Polychromatically driven quantum gates
Comparison with conventional driving
Displacement in phase-space
Gate fidelities
Entanglement
Conclusions
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