Abstract
Quantum optics is the study of the quantum theory of light at low energies and interactions with bound electronic systems. We discuss physically achievable states of the electromagnetic field, including squeezed states and single photons states, as well as schemes by which they may be generated and measured. Measured systems are necessarily open systems and we discuss how dissipation, noise and decoherence is treated in quantum optics in terms of Markov master equations, quantum trajectories and quantum stochastic differential equations. Quantum optics has recently proved a valuable test-bed to implement new communication protocols such as teleportation and quantum information processing and we discus some of these new schemes including ion traps and linear optics quantum computing.
Abbreviations
- LOQC:
-
linear optics quantum computing
- QC:
-
quasicrystals
- QND:
-
quantum nondemolition
- SPDC:
-
spontaneous parametric down conversion
References
L. H. Ryder: Quantum Field Theory (Cambridge Univ. Press, Cambridge 1996)
R. Loudon: Quantum Theory of Light (Oxford Univ. Press, Oxford 1973)
B. W. Shore, P. L. Knight: The Jaynes–Cummings model, J. Mod. Opt. 40, 1195–1238 (1993)
T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, H. J. Kimble: Observation of strong coupling between one atom and a monolithic microresonator, 443, 671 (2006)
G. J. Milburn, S. L. Braunstein: Teleportation using squeezed vacuum states, Phys. Rev. A 60, 937 (1999)
J. Mod. Optics, Special Issue on Single photon Sources, 51, Numbers 9-10 (2004)
A. B. UʼRen, E. Mukamel, K. Banaszek, I. A. Walmsley: Managing photons for quantum information processing, Phil. Trans. R. Soc. A 361, 1471 (2003)
R. J. Glauber: The quantum theory of optical coherence, Phys. Rev. 130, 2529 (1963)
L. Mandel, E. C. G. Sudarshan, E Wolf: Theory of photoelectric detection of light fluctuations, Proc. Phys. Soc. 435 (1964)
P. L. Kelley, W. H. Kleiner: Theory of electromagnetic field measurement and photoelectron counting, Phys. Rev. A 136, 316 (1964)
H. P. Yuen, J. H. Shapiro: Optical communication with two-photon coherent states. III – Quantum measurements realizable with photoemissive detectors, IEEE Trans. Inform. Theory 26, 78 (1980)
M. J. Collett, D. F. Walls: Squeezing spectra for nonlinear optical systems, Phys. Rev. A 32, 2887 (1985)
C. W. Gardiner: Handbook of Stochastic Processes (Springer, Berlin Heidelberg New York 1985)
H. J. Carmichael: Statistical Methods in Quantum Optics 1, Master Equations and Fokker Planck Equations (Springer, Berlin Heidelberg New York 1999)
D. H. Santamore, Hsi-Sheng Goan, G. J. Milburn, M. L. Roukes: Anharmonic effects on a phonon-number measurement of a quantum-mesoscopic-mechanical oscillator, Phys. Rev. A 70, 052105 (2004)
D. F. Walls, G. J. Milburn: Quantum Optics (Springer, Berlin Heidelberg New York 1994)
H. J. Carmichael, D. F. Walls: Proposal for the measurement of the resonant Stark effect by photon correlation techniques, J. Phys. B 9, L43 (1976)
M. D. Srinivas, E. B. Davies: Photon counting probabilities in quantum optics, J. Mod. Opt. 28, 981 (1981)
K.Mølmer, Y. Castin, J. Dalibard: Monte Carlo wave-function method in quantum optics, J. Opt. Soc. Am. B 10, 524 (1993)
J. I. Cirac, P. Zoller: Quantum computations with cold trapped ions, Phys. Rev. Lett. 74, 4091 (1995)
H. J. Dehmelt: Proposed dye laser study of 5sÐ4d e2 transition in single Sr+ ion, Bull. Am. Phys. Soc. 20, 60 (1975)
J. C. Bergquist, R. G. Hulet, W. M. Itano, D. J. Wineland: Observation of quantum jumps in a single atom, Phys. Rev. Lett. 57, 1699 (1986)
J. I. Cirac, R. Blatt, P. Zoller, W. D. Philips: Laser cooling of trapped ions in a standing wave, Phys. Rev. A 46, 2668 (1992)
D. Leibfried, R. Blatt, C. Monroe, D. Wineland: Quantum dynamics of single trapped ions, Rev. Mod. Phys. 75, 281 (2003)
C. Monroe, D. M. Meekhof, B. E. King, S. R. Jefferts, W. M. Itano, D. J. Wineland, P. L. Gould: Resolved-sideband Raman cooling of a bound atom to the 3D zero-point energy, Phys. Rev. Lett. 75, 4011 (1995)
C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W. K. Wooters: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels, Phys. Rev. Lett. 70, 1895 (1993)
B. Schumacher: Quantum coding, Phys. Rev. A 51, 2783 (1995)
A. Furasawa, J. L. Sørensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, E. S. Polzik: Unconditional quantum teleportation, Science 282, 706 (1998)
S. L. Braunstein, H. J. Kimble: Teleportation of continuous quantum variables, Phys. Rev. Lett. 80, 869 (1998)
L. Vaidman: Teleportation of quantum states, Phys. Rev. A 49, 1473 (1994)
D. Boschi, S. Branca, F. De Martini, L. Hardy, S. Popescu: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein–Podolsky–Rosen channels, Phys. Rev. Lett. 80, 1121 (1998)
D. Bouwmeester, J.-W. Pan, M. Daniell, H. Weinfurter, M. Zukowski, A. Zeilinger: Experimental quantum teleportation, Nature 390, 575 (1997)
R. P. Feynman: Simulating physics with computers, Int. J. Theor. Phys 21, 467 (1982)
D. Deutsch: Quantum-theory, the Church-Turing principle and the universal quantum computer, Proc. R. Soc. Lond. A 400, 97-117 (1985)
P.Shor: Algorithms for quantum computation: Discrete algorithms and factoring, Proc. 35th Annual Symposium on Foundations of Computer Science (1994). See also LANL preprint quant-ph/9508027.
R. Cleve, A. Ekert, L. Henderson, C. Macchiavello, M. Mosca: On quantum algorithms, LANL quant- ph/ 9903061 17 Mar 1999.
Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, H. J. Kimble: Measurement of conditional phase shifts for quantum logic, Phys. Rev. Lett. 75, 4710 (1995)
W. J. Munro. Kae Nemoto: Nearly deterministic linear optical controlled-NOT gate, Phys. Rev. Lett. 93, 250502 (2004)
C. K. Hong, Z. Y. Ou, L. Mandel: Measurement of subpicosecond time intervals between two photons by interference, Phys. Rev. Lett. 59, 2044 (1987)
D. Gottesman, I. L. Chuang: Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations, Nature 402, 390–393 (1999)
E. Knill, R. Laflamme, G. J. Milburn: Efficient linear optical quantum computation, Nature 409, 46 (2001)
M. A. Nielsen: Optical quantum computation using cluster states, Phys. Rev. Lett. 93, 040503 (2004)
R. Raussendorf, H. J. Briegel: A one-way quantum computer, Phys. Rev. Lett. 86, 5188 (2001)
G. D. Hutchinson, G. J. Milburn: Nonlinear quantum optical computing via measurement, J. Mod. Opt. 51, 1211–1222 (2004)
T. B. Pittman, B. C. Jacobs, J. D. Franson: Probabilistic quantum logic operations using polarizing beam splitters, Phys. Rev. A 64, 062311 (2001)
J. L. OBrien, G. J. Pryde, A. G. White, T. C. Ralph, D. Branning: Demonstration of an all-optical quantum controlled-NOT gate, Nature 426, 264 (2003)
T. C. Ralph, N. K. Langford, T. B. Bell, A. G. White: Linear optical controlled-NOT gate in the coincidence basis, Phys. Rev. A 65, 062324 (2002)
D. F. W. James, P. G. Kwiat, W. G. Munro, A. G. White: Measurement of qubits, Phys. Rev. 64, 052312 (2001)
K. Sanaka, T. Jennewein, Jian-Wei Pan, K. Resch, A. Zeilinger: Experimental nonlinear sign shift for linear optics quantum computation, Phys. Rev. Lett. 92, 017902–1 (2004)
P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, A. Zeilinger: Experimental one-way quantum computing, Nature 434, 169 (2005)
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Milburn, G. (2007). Quantum Optics. In: Träger, F. (eds) Springer Handbook of Lasers and Optics. Springer Handbooks. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30420-5_14
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