On Information-Theoretic Classical Verification of Quantum Computers

• URL: http://arxiv.org/abs/2105.05942v1
• Date: Wed, 12 May 2021 20:10:35 GMT
• Title: On Information-Theoretic Classical Verification of Quantum Computers
• Authors: Ayal Green
• Abstract summary: We show that any protocol from this family is bound to require an extremely powerful prover. We hint at possible ways one might try to realize a protocol where the prover can be weaker, namely a quantum computer.
• Score: 0.38073142980733
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum inspired protocols e.g. [AAV13,AG17] attempt to achieve a single-prover interactive protocol where a classical machine can verify quantum computations in an information-theoretically secure manner. We define a family of protocols which seem natural for verifying quantum computations and generalizes such known protocols, namely those of [AAV13,AG17]. We show that any protocol from this family is bound to require an extremely powerful prover, much like the classical protocols of [LFKN92] and [Sha92]. Using our analysis, we also hint at possible ways one might try to realize a protocol where the prover can be weaker, namely a quantum computer (i.e. a BQP machine).

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