Abstract

Client-server models enable computations to be hosted remotely on quantum servers. We present a novel protocol for realizing this task, with practical advantages when using technology feasible in the near term. Client tasks are realized as linear combinations of operations implemented by the server, where the linear coefficients are hidden from the server. We report on an experimental demonstration of our protocol using linear optics, which realizes linear combination of two single-qubit operations by a remote single-qubit control. In addition, we explain when our protocol can remain efficient for larger computations, as well as some ways in which privacy can be maintained using our protocol.

Highlights

  • Quantum computing offers the possibility of achieving substantial algorithm speedups compared to classical computing [1,2,3], and can preserve the privacy of computations while doing so

  • We report on an experimental demonstration of our protocol using linear optics, which realizes linear combination of two single-qubit operations by a remote single-qubit control

  • Full-scale demonstrations of this blind quantum computing protocol would require that the server has the ability to create large cluster states, which is beyond the capabilities of current quantum technologies

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Summary

Introduction

Quantum computing offers the possibility of achieving substantial algorithm speedups compared to classical computing [1,2,3], and can preserve the privacy of computations while doing so. To enable the required linear combining of quantum operations in our protocol, we will utilize circuits based on a technique to add coherent control to arbitrary (unknown) quantum operations, demonstrated in [14]. This technique is based on gates which can exploit extensions of the logical Hilbert space used for computation. We will report a proof-of-principle experimental demonstration of our protocol in a linear-optic setup, which implements arbitrary linear combinations of two single-qubit quantum operations by a remote one-qubit control

Linear combining of quantum operations
Implementing quantum processing by remote quantum state control
Experimental demonstration
Conclusion
Linear decomposition of a unitary operation
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