# Complete Problem for Perfect Zero-Knowledge Quantum Proof

@inproceedings{Yan2012CompletePF, title={Complete Problem for Perfect Zero-Knowledge Quantum Proof}, author={Jun Yan}, booktitle={SOFSEM}, year={2012} }

The main purpose of this paper is to prove that (promise) problem Quantum State Identicalness (abbreviated QSI) is essentially complete for perfect zero-knowledge quantum interactive proof (QPZK). Loosely speaking, problem QSI is to decide whether two efficiently preparable quantum states (captured by quantum circuit of polynomial size) are identical or far apart (in trace distance). It is worthy noting that our result does not have classical counterpart yet; natural complete problem for…

## 5 Citations

### Quantum Bit Commitment with Application in Quantum Zero-Knowledge Proof (Extended Abstract)

- Computer Science, MathematicsISAAC
- 2015

This paper showed that plugging quantum bit commitment scheme into the GMW-type construction of zero- knowledge also gives a quantum zero-knowledge proof, as one expects, and proposed a formalization of non-interactive quantum bit commit scheme, which may come in handy in other places.

### General Properties of Quantum Bit Commitments

- Computer Science, Physics
- 2022

This work obtains the following two results: Any complexity-based quantum bit commitment scheme can be converted into the canonical (non-interactive) form (with its sum-binding property preserved) and implies (unconditionally) that complexity- based quantum bitcommitments is symmetric.

### General Properties of Quantum Bit Commitments

- Computer Science, Physics
- 2022

The question of whether canonical quantum bit commitment schemes exist is interesting in its own right in quantum complexity theory and may serve as an alternative foundation of complexity-based quantum cryptography.

### How to Base Security on the Perfect/Statistical Binding Property of Quantum Bit Commitment?

- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
- 2020

It is shown that the (quantum) security can still be established for zero-knowledge proof, oblivious transfer, and proof-of-knowledge and the corresponding security analyses are by no means trivial extensions of their classical analyses; new techniques are needed to handle possible superposition attacks by the cheating sender of quantum bit commitments.

### General Properties of Quantum Bit Commitments∗

- Computer Science, Physics
- 2022

The formulation of canonical quantum bit commitment is so clean and simple that itself can be viewed as a plausible complexity assumption as well, and is proposed to explore from perspectives of both quantum cryptography and quantum complexity theory in the future.

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