Results 21 to 30 of about 259,803 (278)

TOOLS FOR QUANTUM ALGORITHMS [PDF]

International Journal of Modern Physics C, 1999
We present efficient implementations of a number of operations for quantum computers. These include controlled phase adjustments of the amplitudes in a superposition, permutations, approximations of transformations and generalizations of the phase adjustments to block matrix transformations.
Hogg, Tad, Mochon, Carlos, Polak, Wolfgang, Rieffel, Eleanor   +3 more
openaire   +3 more sources

Quantum geometry and quantum algorithms [PDF]

, 2006
Motivated by algorithmic problems arising in quantum field theories whose dynamical variables are geometric in nature, we provide a quantum algorithm that efficiently approximates the colored Jones polynomial.
A Marzuoli, Adler R, Aharonov D Arad I, Aharonov D Jones V Landau Z, Ambjorn J, Ambjorn J, Arnowitt R, Atiyah M F, Bar-Natan D, Birman J S, Birman J S Brendle T E, Carlip S, Dehornoy P, Fomenko A T, Garnerone S Marzuoli A Rasetti A, Garnerone S Marzuoli A Rasetti M, Guadagnini E, Hopcroft J E, Jones V F R, Kauffman L H Lomonaco S J, Lickorish W B R, Lloyd S, M Rasetti, Menasco W, Misner C W, Ohtsuki T (ed), Quinn F, Regge T, S Garnerone, Thurston W P, Weinberg S, Wheeler J A, Wocjan P Yard J   +32 more
core   +2 more sources

Improving quantum algorithms for quantum chemistry [PDF]

Quantum Information and Computation, 2015
We present several improvements to the standard Trotter-Suzuki based algorithms used in the simulation of quantum chemistry on a quantum computer. First, we modify how Jordan-Wigner transformations are implemented to reduce their cost from linear or logarithmic in the number of orbitals to a constant.
Hastings, M. B., Wecker, D., Bauer, B., Troyer, M.   +3 more
openaire   +2 more sources

Quantum security and theory of decoherence

New Journal of Physics, 2022
We sketch a relation between two crucial, yet independent, fields in quantum information research, viz. quantum decoherence and quantum cryptography. We investigate here how the standard cryptographic assumption of shielded laboratory, stating that data ...
P Mironowicz
doaj   +1 more source

Quantum algorithmic entropy [PDF]

Proceedings 16th Annual IEEE Conference on Computational Complexity, 2001
We extend algorithmic information theory to quantum mechanics, taking a universal semicomputable density matrix (``universal probability'') as a starting point, and define complexity (an operator) as its negative logarithm. A number of properties of Kolmogorov complexity extend naturally to the new domain. Approximately, a quantum state is simple if it
openaire   +4 more sources

Grand Unification of Quantum Algorithms

PRX Quantum, 2021
Quantum algorithms offer significant speed-ups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian simulation, which
John M. Martyn, Zane M. Rossi, Andrew K. Tan, Isaac L. Chuang   +3 more
doaj   +1 more source

Basic concepts in quantum computation [PDF]

, 2000
Section headings: 1 Qubits, gates and networks 2 Quantum arithmetic and function evaluations 3 Algorithms and their complexity 4 From interferometers to computers 5 The first quantum algorithms 6 Quantum search 7 Optimal phase estimation 8 Periodicity ...
A. Barenco, A. Barenco, A. Berthiaume, A. Ekert, A. Ekert, A. Ekert, A. Steane, A.R. Calderbank, B. Schumacher, C. Cocks, C. Zalka, C.E. Shannon, C.H. Bennett, C.H. Bennett, D. Beckman, D. Deutsch, D. Deutsch, D. Deutsch, D. Gottesman, D. Kahn, D.P. DiVincenzo, G.H. Hardy, G.S. Vernam, J.H. Ellis, L.K. Grover, P.W. Shor, P.W. Shor, P.W. Shor, R. Calderbank, R. Cleve, R. Laflamme, R. Solovay, R.L. Rivest, R.P. Feynman, S. Lloyd, T. Hogg, T. Toffoli, V. Vedral, W. Diffie, W.H. Zurek, W.K. Wootters   +40 more
core   +4 more sources

Towards Quantum Control with Advanced Quantum Computing: A Perspective

Entropy, 2022
We propose the combination of digital quantum simulation and variational quantum algorithms as an alternative approach to numerical methods for solving quantum control problems. As a hybrid quantum–classical framework, it provides an efficient simulation
Yongcheng Ding, Yue Ban, Xi Chen
doaj   +1 more source

Quantum vaccinomics platforms to advance in vaccinology

Frontiers in Immunology, 2023
The opinion flows from Introduction to the immunological quantum that requires a historical perspective, to Quantum vaccine algorithms supported by a bibliometric analysis, to Quantum vaccinomics describing from our perspective the different vaccinomics ...
José de la Fuente, José de la Fuente, Marinela Contreras   +2 more
doaj   +1 more source

Quantum Computing and Quantum Algorithms [PDF]

, 2020
The field of quantum computing and quantum algorithms is studied from the ground up. Qubits and their quantum-mechanical properties are discussed, followed by how they are transformed by quantum gates.
Serban, Daniel
core   +1 more source