Quantum Multi-Prover Interactive Proof Systems with Limited Prior Entanglement

Hirotada Kobayashi; Keiji Matsumoto

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arXiv · cs/0102013

Quantum Multi-Prover Interactive Proof Systems with Limited Prior Entanglement

Hirotada Kobayashi·Keiji Matsumoto

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Abstract

This paper gives the first formal treatment of a quantum analogue of multi-prover interactive proof systems. It is proved that the class of languages having quantum multi-prover interactive proof systems is necessarily contained in NEXP, under the assumption that provers are allowed to share at most polynomially many prior-entangled qubits. This implies that, in particular, if provers do not share any prior entanglement with each other, the class of languages having quantum multi-prover interactive proof systems is equal to NEXP. Related to these, it is shown that, in the case a prover does not have his private qubits, the class of languages having quantum single-prover interactive proof systems is also equal to NEXP.

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Hirotada Kobayashi, Keiji Matsumoto. 2003-06-10. Quantum Multi-Prover Interactive Proof Systems with Limited Prior Entanglement. https://arxiv.org/abs/cs/0102013

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