Quantum information science

Quantum mechanics
Schrödinger equation
Introduction Glossary History
Background Classical mechanics Old quantum theory Bra–ket notation Hamiltonian Interference
Fundamentals Complementarity Decoherence Entanglement Energy level Measurement Nonlocality Quantum number State Superposition Symmetry Tunnelling Uncertainty Wave function (collapse)
Experiments Afshar Bell's inequality Davisson–Germer Double-slit Elitzur–Vaidman Franck–Hertz Mach–Zehnder Popper Quantum eraser (delayed-choice) Schrödinger's cat Stern–Gerlach Wheeler's delayed-choice
Formulations Overview Heisenberg Interaction Matrix Phase-space Schrödinger Sum-over-histories (path integral)
Equations Dirac Klein–Gordon Pauli Rydberg Schrödinger
Interpretations Overview Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective collapse Bayesian Quantum logic Relational Stochastic Scale relativity Transactional
Advanced topics Quantum chaos Quantum computing Density matrix Quantum field theory Fractional quantum mechanics Quantum information science Relativistic quantum mechanics Scattering theory Quantum statistical mechanics
Scientists Aharonov Bell Blackett Bloch Bohm Bohr Born Bose de Broglie Candlin Compton Dirac Davisson Debye Ehrenfest Einstein Everett Fock Fermi Feynman Glauber Gutzwiller Heisenberg Hilbert Jordan Kramers Pauli Lamb Landau Laue Moseley Millikan Onnes Planck Rabi Raman Rydberg Schrödinger Sommerfeld von Neumann Weyl Wien Wigner Zeeman Zeilinger

Quantum information science is an area of study based on the idea that information science depends on quantum effects in physics. It includes theoretical issues in computational models as well as more experimental topics in quantum physics including what can and cannot be done with quantum information. The term quantum information theory is sometimes used, but it fails to encompass experimental research in the area.

Subfields include:

• Quantum computing, which deals on the one hand with the question how and whether one can build a quantum computer and on the other hand, algorithms that harness its power (see quantum algorithm)
• Quantum complexity theory
• Quantum cryptography and its generalization, quantum communication
• Quantum error correction
• Quantum communication complexity
• Quantum entanglement, as seen from an information-theoretic point of view
• Quantum dense coding
• Quantum teleportation is a well-known quantum information processing operation, which can be used to move any arbitrary quantum state from one particle (at one location) to another.

See also

• No-communication theorem
• Quantum decision tree complexity
• Quantum capacity
• Quantum communication channel
• Entanglement-assisted classical capacity

References

• Nielsen, M.A. and Chuang, I.L. Quantum computation and quantum information. Cambridge University Press, 2000. ISBN 0-521-63235-8

External links

• Quantiki – quantum information science portal and wiki.
• ERA-Pilot QIST WP1 European roadmap on Quantum Information Processing and Communication
• QIIC – Quantum Information, Imperial College London.
• QIP – Quantum Information Group, University of Leeds. The quantum information group at the University of Leeds is engaged in researching a wide spectrum of aspects of quantum information. This ranges from algorithms, quantum computation, to physical implementations of information processing and fundamental issues in quantum mechanics. Also contains some basic tutorials for the lay audience.
• mathQI Research Group on Mathematics and Quantum Information.
• CQIST Center for Quantum Information Science & Technology at the University of Southern California
• CQuIC Center for Quantum Information and Control, including theoretical and experimental groups from University of New Mexico, University of Arizona.
• CQT Centre for Quantum Technologies at the National University of Singapore

Quantum information science
General	Quantum computer Qubit DiVincenzo's criteria Quantum information Quantum machine Quantum programming Timeline of quantum computing
Quantum communication	Quantum capacity Classical capacity Entanglement-assisted classical capacity Quantum channel Quantum network Quantum cryptography Quantum key distribution Quantum energy teleportation Quantum teleportation Superdense coding LOCC Entanglement distillation
Quantum algorithms	Universal quantum simulator Deutsch–Jozsa algorithm Grover's algorithm Quantum Fourier transform Shor's algorithm Simon's problem Quantum phase estimation algorithm Quantum annealing Algorithmic cooling
Quantum complexity theory	Quantum Turing machine EQP BQP QMA PostBQP
Quantum computing models	Quantum circuit Quantum gate One-way quantum computer cluster state Adiabatic quantum computation Topological quantum computer
Decoherence prevention	Quantum error correction Stabilizer codes Entanglement-Assisted Quantum Error Correction Quantum convolutional codes
Physical implementations	Quantum optics Cavity QED Circuit QED Linear optical quantum computing Ultracold atoms Trapped ion quantum computer Optical lattice Spin-based Nuclear magnetic resonance QC Kane QC Loss–DiVincenzo QC Nitrogen-vacancy center Superconducting quantum computing Charge qubit Flux qubit Phase qubit