Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0111149 · Journal of Optics B Quantum and Semiclassical Optics

Quantum state conversion by cross-Kerr interaction

J Clausen, L. Knöll, D.‐G. Welsch

Published Mar 14, 2002• 15 citations
arXivHTMLPDF

Abstract

A generalized Mach–Zehnder-type interferometer equipped with cross-Kerr elements is proposed to convert N -photon truncated single-mode quantum states into ( N + 1)-mode single-photon states, which are suitable for further state manipulation by means of beamsplitter arrays and ON/OFF-detections, and vice versa. Applications to the realization of unitary and non-unitary transformations, quantum state reconstruction and quantum telemanipulation are studied.

DOI
10.1088/1464-4266/4/2/312

Related papers

Engineering superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer

Richard J. Birrittella, Paul M. Alsing, James Schneeloch +3 more

We revisit a method for mapping arbitrary single-mode pure states into superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer (ANLMZI). This method would allow one to tailor-make superpositions of N00N states where each axis of the two-mode joint-photon number distribution is weighted by the statistics of any single-mode pure state. The non-linearity of the ANLMZI comes in the form of a χ(3) self-Kerr interaction occurring on one of the intermediary modes of the interferometer. Motivated by the non-classical interference effects that occur at a beam splitter, we introduce inverse-engineering techniques aimed toward extrapolating optimal transformations for generating N00N state superpositions. These techniques are general enough so as to be employed to probe the means of generating states of any desired quantum properties.

arXiv:2405.00132•AVS Quantum Science•Mar 1, 2023•1 citation

Frequency Hopping in Quantum Interferometry: Efficient Up-Down Conversion for Qubits and Ebits

Paolo Mataloni, Gian Luca Giorgi, F. De Martini

A novel single-photon Mach-Zehnder interferometer terminated at two different frequencies realizes the nonlinear frequency conversion of optical quantum superposition states. The information-preserving character of the relevant unitary transformation has been experimentally demonstrated for input qubits and ebits. Besides its own intrinsic fundamental interest, the new scheme will find important applications in modern quantum information technology.

arXiv:quant-ph/0201116•Jan 25, 2002•0 citations

Generation of optical macroscopic quantum superposition states via state reduction with a Mach-Zehnder interferometer containing a Kerr medium

Christopher C. Gerry

A method for producing macroscopic quantum superposition states (generally known as Schr\"odinger cat) states for optical fields is presented. The proposed method involves two modes of the field interacting dispersively in a Kerr medium where one of the modes is an arm of a Mach-Zehnder interferometer and the other mode is external to it. If the external mode initially contains a macroscopic quantum state, such as a coherent state, and the vacuum and a single photon state are the inputs to the interferometer, the external field state becomes entangled with the number states associated with the two paths of the interferometer. Selective measurement at the output ports of the interferometer project the external mode into the desired cat states. It is pointed out that the method can also be used to generate cat states out of multimode states initially containing correlations.

Physical Review A•May 1, 1999•181 citations

Universal unitary gate for single-photon two-qubit states

Berthold‐Georg Englert, Christian Kurtsiefer, Harald Weinfurter

Upon entangling a spatial binary alternative of a photon with its polarization, one can use single photons to study arbitrary 2-qubit states. Sending the photon through a Mach-Zehnder interferometer, equipped with sets of wave plates that change the polarization, amounts to performing a unitary transformation on the 2-qubit state. We show that any desired unitary gate can be realized by a judicious choice of the parameters of the setup and discuss a number of applications. They include the diagnosis of an unknown 2-qubit state, an optical Grover search, and the realization of a thought experiment invented by Vaidman, Aharonov, and Albert.

arXiv:quant-ph/0101064•Physical Review A•Feb 7, 2001•137 citations

Quantum non-demolition measurement in the interferometer

Dmitri L. Khokhlov

The schemes of the arrangements based on the Mach-Zehnder interferometer and the interferometer with two polarizing beam splitters are considered. The interferometers in both the schemes are equipped with some devices, creating a Kerr medium, to perform the quantum non-demolition measurement of a single photon. Such a device gives which way information of the photon while preserving the work of the interferometer.

International Journal of Physical Research•Jan 1, 2021•1 citation

Single-photon frequency hopping: application to quantum interferometry

Paolo Mataloni, Gian Luca Giorgi, F. De Martini

A novel Mach-Zehnder interferometer terminated at two different frequencies which realizes for a single photon quantum state (qubit) the nonlinear frequency conversion has been realized. The information-preserving character of the nonlinear process allows to transfer the coherence of the input to the output state. The results of this experiment can have relevant applications in quantum information technology.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 11, 2003•0 citations
A generalized Mach–Zehnder-type interferometer equipped with cross-Kerr elements is proposed to convert N -photon truncated single-mode quantum states into ( N + 1)-mode single-photon states, which are suitable for further state manipulation by means of beamsplitter arrays and ON/OFF-detections, and vice versa. Applications to the realization of unitary and non-unitary transformations, quantum state reconstruction and quantum telemanipulation are studied.
We revisit a method for mapping arbitrary single-mode pure states into superpositions of N00N states using an asymmetric non-linear Mach–Zehnder interferometer (ANLMZI). This method would allow one to tailor-make superpositions of N00N states where each axis of the two-mode joint-photon number distribution is weighted by the statistics of any single-mode pure state. The non-linearity of the ANLMZI comes in the form of a χ(3) self-Kerr interaction occurring on one of the intermediary modes of the interferometer. Motivated by the non-classical interference effects that occur at a beam splitter, we introduce inverse-engineering techniques aimed toward extrapolating optimal transformations for generating N00N state superpositions. These techniques are general enough so as to be employed to probe the means of generating states of any desired quantum properties.
A method for producing macroscopic quantum superposition states (generally known as Schr\"odinger cat) states for optical fields is presented. The proposed method involves two modes of the field interacting dispersively in a Kerr medium where one of the modes is an arm of a Mach-Zehnder interferometer and the other mode is external to it. If the external mode initially contains a macroscopic quantum state, such as a coherent state, and the vacuum and a single photon state are the inputs to the interferometer, the external field state becomes entangled with the number states associated with the two paths of the interferometer. Selective measurement at the output ports of the interferometer project the external mode into the desired cat states. It is pointed out that the method can also be used to generate cat states out of multimode states initially containing correlations.
Upon entangling a spatial binary alternative of a photon with its polarization, one can use single photons to study arbitrary 2-qubit states. Sending the photon through a Mach-Zehnder interferometer, equipped with sets of wave plates that change the polarization, amounts to performing a unitary transformation on the 2-qubit state. We show that any desired unitary gate can be realized by a judicious choice of the parameters of the setup and discuss a number of applications. They include the diagnosis of an unknown 2-qubit state, an optical Grover search, and the realization of a thought experiment invented by Vaidman, Aharonov, and Albert.