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Journal ArticleDOI

SU(2) and SU(1,1) interferometers.

Bernard Yurke, +2 more
- 01 Jun 1986 - 
- Vol. 33, Iss: 6, pp 4033-4054
TLDR
In this paper, a Lie-group-theoretical approach to the analysis of interferometers is presented, which can achieve phase sensitivity Δo approaching 1/N, where N is the total number of quanta entering the interferometer, provided that the light entering the input ports is prepared in a suitable quantum state.
Abstract
A Lie-group-theoretical approach to the analysis of interferometers is presented. Conventional interferometers such as the Mach-Zehnder and Fabry-Perot can be characterized by SU(2). We introduce a class of interferometers characterized by SU(1,1). These interferometers employ active elements such as four-wave mixers or degenerate-parametric amplifiers in their construction. Both the SU(2) and SU(1,1) interferometers can in principle achieve a phase sensitivity Δo approaching 1/N, where N is the total number of quanta entering the interferometer, provided that the light entering the input ports is prepared in a suitable quantum state. SU(1,1) interferometers can achieve this sensitivity with fewer optical elements.

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Citations
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Journal ArticleDOI

Advances in quantum metrology

TL;DR: Quantum metrology is the use of quantum techniques such as entanglement to yield higher statistical precision than purely classical approaches as discussed by the authors, where the central limit theorem implies that the reduction is proportional to the square root of the number of repetitions.
Journal ArticleDOI

Quantum-enhanced measurements: beating the standard quantum limit.

TL;DR: This work has shown that conventional bounds to the precision of measurements such as the shot noise limit or the standard quantum limit are not as fundamental as the Heisenberg limits and can be beaten using quantum strategies that employ “quantum tricks” such as squeezing and entanglement.
Journal ArticleDOI

Unconditional quantum teleportation

TL;DR: The first realization of unconditional quantum teleportation where every state entering the device is actually teleported is realized, using squeezed-state entanglement.
Journal ArticleDOI

Photonic quantum technologies

TL;DR: The first quantum technology that harnesses quantum mechanical effects for its core operation has arrived in the form of commercially available quantum key distribution systems as mentioned in this paper, which achieves enhanced security by encoding information in photons such that an eavesdropper in the system can be detected.
Journal ArticleDOI

Quantum metrology

TL;DR: It is proved that the typical quantum precision enhancement is of the order of the square root of the number of times the system is sampled, and it is pointed out the different strategies that permit one to attain this bound.
References
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Book

Principles of Optics

Max Born, +1 more
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.

Principles of Optics

Max Born, +1 more
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Journal ArticleDOI

Two-photon coherent states of the radiation field

TL;DR: In this paper, the concept of two-photon coherent states is introduced for applications in quantum optics, which is a simple generalization of the well-known minimum-uncertainty wave packets.
Journal ArticleDOI

New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states.

TL;DR: In this paper, the quadrature-phase amplitudes and two-mode squeezed states were introduced for analyzing two-photon devices, in which photons in the output modes are created or destroyed two at a time.

New formalism for two-photon quantum optics. I - Quadrature phases and squeezed states. II - Mathematical foundation and compact notation

TL;DR: A new formalism for analyzing two-photon devices, such as parametric amplifiers and phase-conjugate mirrors, is proposed, focusing on the properties and the significance of the quadrature-phase amplitudes and two-mode squeezed states.
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