Algorithmic cooling is an algorithmic method for transferring heat (or entropy) from some qubits to others or outside the system and into the environment...

economic systems from an algorithmic point of view Algorithmic number theory, algorithms for number-theoretic computation Algorithmic game theory, game-theoretic...

theorem. Purification is used in algorithms such as entanglement distillation, magic state distillation and algorithmic cooling. Let H S {\displaystyle {\mathcal...

In quantum computing, the Brassard–Høyer–Tapp algorithm or BHT algorithm is a quantum algorithm that solves the collision problem. In this problem, one...

related to the search algorithm. This separation usually prevents algorithmic optimizations, whereas conventional search algorithms often rely on such optimizations...

or optical tweezers by laser beam. This, along with Doppler cooling and Sisyphus cooling, was the crucial technology needed to achieve the celebrated...

The Deutsch–Jozsa algorithm is a deterministic quantum algorithm proposed by David Deutsch and Richard Jozsa in 1992 with improvements by Richard Cleve...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor...

pre-cooled via laser cooling in a magneto-optical trap. To reach the lowest possible temperature, further cooling is performed using evaporative cooling in...

for learning the result of some types of computations such as Grover's algorithm even though the result was derived from the non-running state of the quantum...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

J.; Spekkens, Robert W. (2015-03-03). "The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations...

approximate optimization algorithm (QAOA), which use NISQ devices but offload some calculations to classical processors. These algorithms have been successful...

programming.[citation needed] Quantum algorithms and quantum complexity theory are two of the subjects in algorithms and computational complexity theory...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

setup must satisfy to successfully implement quantum algorithms such as Grover's search algorithm or Shor factorization. The first five conditions regard...

security. Quantum algorithms then emerged for solving oracle problems, such as Deutsch's algorithm in 1985, the Bernstein–Vazirani algorithm in 1993, and Simon's...

captures all of the power of quantum computation—that is, any quantum algorithm can be expressed formally as a particular quantum Turing machine. However...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

mechanics, vibrations are made up of elementary vibrations called phonons. Cooling the resonator to its ground state can be seen as equivalent to removing...

especially important in the theory of quantum computing because Shor's algorithms for factoring and finding discrete logarithms in quantum computing are...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

computing in the circuit model. The time complexity for an adiabatic algorithm is the time taken to complete the adiabatic evolution which is dependent...

understood[citation needed]. The Gottesman-Knill theorem proves that all quantum algorithms whose speed up relies on entanglement that can be achieved with CNOT and...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

teleportation quantum gate teleportation Superdense coding Quantum algorithms Algorithmic cooling Amplitude amplification Bernstein–Vazirani BHT Boson sampling...

Youpeng; Yan, Fei; Sun, Xiaoming; Yu, Dapeng (2022-11-14). "Scalable algorithm simplification using quantum AND logic". Nature Physics. 19 (1). Springer...