Parallel remote state preparation for fully device-independent verifiable blind quantum computation
Abstract
We introduce a device-independent two-prover scheme in which a classical verifier is able to use a simple untrusted quantum measurement device (the client device) to securely delegate a quantum computation to an untrusted quantum server. To do this, we construct a parallel self-testing protocol to perform device-independent remote state preparation of $n$ qubits and compose this with the unconditionally secure universal verifiable blind quantum computation (VBQC) scheme of J. F. Fitzsimons and E. Kashefi [Phys. Rev. A 96, 012303 (2017)]. Our self-test achieves a multitude of desirable properties for the application we consider, giving rise to practical and fully device-independent VBQC. It certifies parallel measurements of all cardinal and intercardinal directions in the $XY$-plane as well as the computational basis, uses few input questions (of size logarithmic in $n$ for the client and a constant number communicated to the server), and requires only single-qubit measurements to be performed by the client device.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2022
- DOI:
- 10.48550/arXiv.2212.05442
- arXiv:
- arXiv:2212.05442
- Bibcode:
- 2022arXiv221205442A
- Keywords:
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- Quantum Physics;
- Computer Science - Cryptography and Security
- E-Print:
- 55 pages, 3 figures