Quantum to classical one-way function and its applications in quantum money authentication
نویسندگان
چکیده
منابع مشابه
A classical one-way function to confound quantum adversaries
The promise of quantum computation and its consequences for complexity-theoretic cryptography motivates an immediate search for cryptosystems which can be implemented with current technology, but which remain secure even in the presence of quantum computers. Inspired by recent negative results pertaining to the nonabelian hidden subgroup problem, we present here a classical algebraic function f...
متن کاملOne-Way Finite Automata with Quantum and Classical States
We introduce 2-way finite automata with quantum and classical states (2qcfa’s). This is a variant on the 2-way quantum finite automata (2qfa) model which may be simpler to implement than unrestricted 2qfa’s; the internal state of a 2qcfa may include a quantum part that may be in a (mixed) quantum state, but the tape head position is required to be classical. We show two languages for which 2qcf...
متن کاملUnbounded-Error One-Way Classical and Quantum Communication Complexity
This paper studies the gap between quantum one-way communication complexity Q(f) and its classical counterpart C(f), under the unbounded-error setting, i.e., it is enough that the success probability is strictly greater than 1/2. It is proved that for any (total or partial) Boolean function f , Q(f) = ⌈C(f)/2⌉, i.e., the former is always exactly one half as large as the latter. The result has a...
متن کاملNew bounds on classical and quantum one-way communication complexity
In this paper we provide new bounds on classical and quantum distributional communication complexity in the two-party, one-way model of communication. In the classical one-way model, our bound extends the well known upper bound of Kremer, Nisan and Ron [KNR95] to include non-product distributions. Let ǫ ∈ (0, 1/2) be a constant. We show that for a boolean function f : X ×Y → {0, 1} and a non-pr...
متن کاملQuantum One-Way Communication is Exponentially Stronger Than Classical Communication
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error) protocol requires poly(n) bits of communication. That quantum protocol requires two rounds of communication. Ever since Raz’s paper it was open whether the same exponential separation can be achieved with a quantum pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quantum Information Processing
سال: 2018
ISSN: 1570-0755,1573-1332
DOI: 10.1007/s11128-018-1965-z