# Quantum algorithms revisited

@article{Cleve1998QuantumAR, title={Quantum algorithms revisited}, author={Richard Cleve and A. Ekert and Chiara Macchiavello and Michele Mosca}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, year={1998}, volume={454}, pages={339 - 354} }

Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. A common pattern underpinning quantum algorithms can be identified when quantum computation is viewed as multiparticle interference. We use this approach to review (and improve) some of the existing quantum algorithms and to show how they are related to different instances of quantum phase estimation. We provide an explicit algorithm for…

## 920 Citations

On quantum algorithms

- Physics, Computer ScienceComplex.
- 1998

It is shown how most known quantum algorithms, including quantum algorithms for factorising and counting, may be cast in this manner.

Quantum interferometers as quantum computers

- Physics
- 1998

Quantum computers which use quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations can be viewed as multiparticle…

Quantum information and precision measurement

- Physics
- 1999

Some applications of quantum information theory to the analysis of quantum limits on measurement sensitivity are described, including superdense coding, fast database search, and the quantum Fourier transform.

Quantum computation and quantum information

- Computer ScienceInt. J. Parallel Emergent Distributed Syst.
- 2006

A survey of all the important aspects and results that have shaped the field of quantum computation and quantum information and their applications to the general theory of information, cryptography, algorithms, computational complexity and error-correction.

Entanglement in Phase Estimation Algorithm and Quantum Counting Algorithm

- Physics, Computer Science
- 2020

Investigation of the entanglement features of the quantum states employed in quantum phase estimation algorithm and quantum counting algorithm shows that whether these two algorithms generateEntanglement depend on whether the input quantum state of the second register is a superposition state ofThe eigenstates.

Quantum search by measurement

- Physics
- 2002

We propose a quantum algorithm for solving combinatorial search problems that uses only a sequence of measurements. The algorithm is similar in spirit to quantum computation by adiabatic evolution,…

Self-protected quantum algorithms based on quantum state tomography

- Physics, Computer ScienceQuantum Inf. Process.
- 2009

New quantum algorithms are given which are based on quantum state tomography which include an algorithm for the calculation of several quantum mechanical expectation values and an algorithms for the determination of polynomial factors.

Quantum Algorithms with Applications to Simulating Physical Systems

- Physics, Computer Science
- 2019

This dissertation aims to improve the resource requirements of quantum computers for solving simulation problems, by providing both novel quantum algorithms and improved implementations of existing ones by presenting three main results that cover diverse aspects of simulation including equilibrium physics, the preparation of useful quantum states, and simulations based on classical stochastic processes.

Do multipartite correlations speed up adiabatic quantum computation or quantum annealing?

- PhysicsQuantum Inf. Process.
- 2016

This work shall investigate how multipartite entanglement and non-locality among qubits vary as the quantum computation runs, and encounter that quantum measures on the whole system cannot account for their corresponding speedup.

Quantum entanglement and quantum computational algorithms

- Physics, Computer Science
- 2001

It is demonstrated that the one- and the two-bit Deutsch-Jozsa algorithm does not require entanglement and can be mapped onto a classical optical scheme.

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