Journal ArticleDOI
Construction of optical networks by virture of the IWOP technique
Hong-Yi Fan,Min Xiao +1 more
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TLDR
By mapping the classical c-number transformation in a coherent state basis onto quantum mechanical operators of Fock space, the authors gave a systematic prescription for obtaining Hamilton operators for N-port linear optical networks.Abstract:
By mapping the classical c-number transformation in a coherent state basis onto quantum mechanical operators of Fock space and using the technique of integration within an ordered product of operators, we give a systematic prescription for obtaining Hamilton operators for N-port linear optical networks. This prescription may be extended to some nonlinear optical network systems.read more
Citations
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Journal ArticleDOI
Conditional linear-optical measurement schemes generate effective photon nonlinearities
TL;DR: In this paper, the authors provide a general approach for the analysis of optical state evolution under conditional measurement schemes, and identify the necessary and sufficient conditions for such schemes to simulate unitary evolution on the freely propagating modes.
Journal ArticleDOI
Multiple photon effective Hamiltonians in linear quantum optical networks
TL;DR: In this paper, an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport was given.
Journal ArticleDOI
An N-mode squeezed vacuum state in Fock space as an entangled state
TL;DR: Using the technique of integration within the ordered product (IWOP) of operators, this article showed that the operator U = exp [ir(∑n−1i=1QiPi+1 + QnP1)] is an N-mode squeezing operator for the n-mode quadratures exhibiting the standard squeezing.
Journal ArticleDOI
Multipartite entangled state of continuum variables generated by an optical network
TL;DR: In this article, the authors construct a new multipartite entangled states of continuum variables, which are related to unitary group U(n), and prove that such states make up a complete representation in multimode Fock space.
Journal ArticleDOI
Method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
TL;DR: In this paper, the adjoint map between the Lie algebras corresponding to the Lie groups of the relevant unitary matrices has been studied to find a simple optical system which implements any quantum operation within the reach of linear optics.
References
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Journal ArticleDOI
Experimental realization of any discrete unitary operator.
TL;DR: An algorithmic proof that any discrete finite-dimensional unitary operator can be constructed in the laboratory using optical devices is given, and optical experiments with any type of radiation exploring higher-dimensional discrete quantum systems become feasible.
Journal ArticleDOI
New approach for calculating the normally ordered form of squeeze operators.
TL;DR: A new method for directly obtaining the normally ordered form of single- and two-mode squeeze operators is presented, based on the technique of ‘‘integration within an ordered product’’.
Journal ArticleDOI
Application of IWOP technique to the generalized Weyl correspondence
Hong-yi Fan,H.R. Zaidi +1 more
TL;DR: In this paper, the theory of the generalized Weyl correspondence is reexamined using the IWOP (integration within an ordered product of operators) technique, and the generalized Wigner operator is evaluated in a normal-ordered form.
Journal ArticleDOI
Squeezed states: Operators for two types of one- and two-mode squeezing transformations.
Journal ArticleDOI
Hamiltonian theory of a symmetric multiport
TL;DR: In this article, a simple Hamiltonian model for a passive multiport is presented and the model can be made symmetric with respect to the interaction times up to a certain number of input-output ports.
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