Commitments to Quantum States
@article{Gunn2022CommitmentsTQ, title={Commitments to Quantum States}, author={Sam Gunn and Nathan Ju and Fermi Ma and Mark Zhandry}, journal={Electron. Colloquium Comput. Complex.}, year={2022}, volume={TR22} }
What does it mean to commit to a quantum state? In this work, we propose a simple answer: a commitment to quantum messages is binding if, after the commit phase, the committed state is hidden from the sender’s view. We accompany this new definition with several instantiations. We build the first non-interactive succinct quantum state commitments, which can be seen as an analogue of collision-resistant hashing for quantum messages. We also show that hiding quantum state commitments (QSCs) are…
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Quantum Merkle Trees
- Computer Science, MathematicsArXiv
- 2021
Using the quantum Merkle tree, a succinct quantum argument for the Gap-k-Local-Hamiltonian problem is proposed and it is proved it is secure against semi-honest provers in QHROM and conjecture its general security.
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