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In gate-based quantum computing, various sets of quantum logic gates are commonly used to express quantum operations. The following tables list several unitary quantum logic gates, together with their common name, how they are represented, and some of their properties.
Common quantum logic gates by name (including abbreviation), circuit form(s) and the corresponding unitary matrices. In quantum computing and specifically the quantum circuit model of computation, a quantum logic gate (or simply quantum gate) is a basic quantum circuit operating on a small number of qubits.
The simple case described above can be extended similarly to that done in CSS by Shamir and Blakley via a thresholding scheme. In the ((k,n)) threshold scheme (double parentheses denoting a quantum scheme), Alice splits her secret key (quantum state) into n shares such that any k≤n shares are required to extract the full information but k-1 or less shares cannot extract any information about ...
Miller and Shi [4] achieved several additional features, including cryptographic level security, robustness, and a single-qubit requirement on the quantum memory. The approach was subsequently extended by the same authors to show that the noise level can approach the obvious upper bound, when the output may become deterministic.
BB84 is a quantum key distribution scheme developed by Charles Bennett and Gilles Brassard in 1984. [1] It is the first quantum cryptography protocol. [2] The protocol is provably secure assuming a perfect implementation, relying on two conditions: (1) the quantum property that information gain is only possible at the expense of disturbing the signal if the two states one is trying to ...
Quantum cryptography is the science of exploiting quantum mechanical properties to perform cryptographic tasks. [1] [2] The best known example of quantum cryptography is quantum key distribution, which offers an information-theoretically secure solution to the key exchange problem.
Post-quantum cryptography (PQC), sometimes referred to as quantum-proof, quantum-safe, or quantum-resistant, is the development of cryptographic algorithms (usually public-key algorithms) that are currently thought to be secure against a cryptanalytic attack by a quantum computer.
The classical analog of the CNOT gate is a reversible XOR gate. How the CNOT gate can be used (with Hadamard gates) in a computation.. In computer science, the controlled NOT gate (also C-NOT or CNOT), controlled-X gate, controlled-bit-flip gate, Feynman gate or controlled Pauli-X is a quantum logic gate that is an essential component in the construction of a gate-based quantum computer.
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