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- Title
Quantum to classical one-way function and its applications in quantum money authentication.
- Authors
Behera, Amit; Paul, Goutam
- Abstract
In 2013, Farid and Vasiliev [<ext-link>arXiv:1310.4922</ext-link> [quant-ph]] for the first time proposed a way to construct a protocol for the realisation of “Classical to Quantum” one-way hash function, a derivative of the quantum one-way function as defined by Gottesman and Chuang [Technical Report <ext-link>arXiv:quant-ph/0105032</ext-link>] and used it for constructing quantum digital signatures. We, on the other hand, for the first time, propose the idea of a different kind of one-way function, which is “quantum-classical” in nature, that is, it takes an n-qubit quantum state of a definite kind as its input and produces a classical output. We formally define such a one-way function and propose a way to construct and realise it. The proposed one-way function turns out to be very useful in authenticating a quantum state in any quantum money scheme, and so we can construct many different quantum money schemes based on such a one-way function. Later in the paper, we also give explicit constructions of some interesting quantum money schemes like quantum bitcoins and quantum currency schemes, solely based on the proposed one-way function. The security of such schemes can be explained on the basis of the security of the underlying one-way functions.
- Subjects
DIGITAL signatures; QUANTUM states; QUANTUM cryptography; MONEY; QUANTUM gates
- Publication
Quantum Information Processing, 2018, Vol 17, Issue 8, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-018-1965-z