dorsal/arxiv
View SchemaQMA/qpoly Is Contained In PSPACE/poly: De-Merlinizing Quantum Protocols
| Authors | Scott Aaronson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510230 |
| URL | https://arxiv.org/abs/quant-ph/0510230 |
Abstract
This paper introduces a new technique for removing existential quantifiers over quantum states. Using this technique, we show that there is no way to pack an exponential number of bits into a polynomial-size quantum state, in such a way that the value of any one of those bits can later be proven with the help of a polynomial-size quantum witness. We also show that any problem in QMA with polynomial-size quantum advice, is also in PSPACE with polynomial-size classical advice. This builds on our earlier result that BQP/qpoly is contained in PP/poly, and offers an intriguing counterpoint to the recent discovery of Raz that QIP/qpoly = ALL. Finally, we show that QCMA/qpoly is contained in PP/poly and that QMA/rpoly = QMA/poly.
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"date_created": "2026-03-02T18:02:19.746000Z",
"date_modified": "2026-03-02T18:02:19.746000Z",
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"abstract": "This paper introduces a new technique for removing existential quantifiers\nover quantum states. Using this technique, we show that there is no way to pack\nan exponential number of bits into a polynomial-size quantum state, in such a\nway that the value of any one of those bits can later be proven with the help\nof a polynomial-size quantum witness. We also show that any problem in QMA with\npolynomial-size quantum advice, is also in PSPACE with polynomial-size\nclassical advice. This builds on our earlier result that BQP/qpoly is contained\nin PP/poly, and offers an intriguing counterpoint to the recent discovery of\nRaz that QIP/qpoly = ALL. Finally, we show that QCMA/qpoly is contained in\nPP/poly and that QMA/rpoly = QMA/poly.",
"arxiv_id": "quant-ph/0510230",
"authors": [
"Scott Aaronson"
],
"categories": [
"quant-ph",
"cs.CC"
],
"title": "QMA/qpoly Is Contained In PSPACE/poly: De-Merlinizing Quantum Protocols",
"url": "https://arxiv.org/abs/quant-ph/0510230"
},
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"execution_id": "4b4b5e1e-8425-4374-a0f3-c0645be934ec",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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