Abstract

Quantum state transfer into a memory, state shuttling over long distances via a quantum bus, and high-fidelity readout are important tasks for quantum technology. Realizing these tasks is challenging in the presence of realistic couplings to an environment. Here, we introduce and assess protocols that can be used in cavity quantum electrodynamics to perform high-fidelity quantum state transfer and fast quantum nondemolition qubit readout through Hamiltonian engineering. We show that high-fidelity state transfer between a cavity and a single qubit can be performed, even in the limit of strong dephasing due to inhomogeneous broadening. We generalize this result to state transfer between a cavity and a logical qubit encoded in a collective mode of a large ensemble of N physical qubits. Under a decoupling sequence, we show that inhomogeneity in the ensemble couples two collective bright states to only two other collective modes, leaving the remaining single-excitation states dark. Moreover, we show that large signal-to-noise and high single-shot fidelity can be achieved in a cavity-based qubit readout, even in the weak-coupling limit. These ideas may be important for novel systems coupling single spins to a microwave cavity.

Highlights

  • Spin qubits encoded in collective modes of ensembles [1, 2, 3] and single spins in quantum dots [4, 5, 6] can be coupled to microwave cavities for cavity quantum electrodynamics (QED) experiments [7]

  • We have introduced and assessed protocols for two quantum operations relevant to cavity QED: (i) quantum state transfer between a qubit and a cavity, and (ii) qubit readout through the cavity output field

  • The protocol presented here (SQUADD) can lead to a high fidelity even in the limit of strong dephasing due to inhomogeneous broadening. This result holds when storing the logical qubit in a collective mode of a large ensemble of N physical qubits

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Summary

Introduction

Spin qubits encoded in collective modes of ensembles [1, 2, 3] and single spins in quantum dots [4, 5, 6] can be coupled to microwave cavities for cavity quantum electrodynamics (QED) experiments [7]. We show that control of the qubit-cavity coupling makes high-fidelity quantum state transfer possible even in the strong-dephasing limit, in which the inhomogeneous linewidth dominates the qubit-cavity coupling This result applies even to logical qubits encoded in the collective mode of an ensemble of physical qubits (relevant to, e.g., spin or atomic ensembles that are routinely used for quantum memories [3, 28, 29]).

Hamiltonian engineering
Qubit-cavity state transfer
Average Hamiltonian theory
Collective modes in qubit ensembles
Control limitations
Pulse errors
Finite bandwidth and counter-rotating terms
Finite π-pulse duration
Qubit readout
Signal-to-noise ratio
Single-shot fidelity
Findings
Conclusion
Full Text
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