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

Asia Communications and Photonics Conference

Implementation of Large-Scale Arbitrary Linear Unitary Transformation Using Wavefront Matching Algorithm

Shunxin Song, Hongxiang Guo, Guangsong Yuan, Huixin Jia, Peishuo Wang, Peilin Li, Jian Wu

Published Nov 2, 2024• 0 citations
Publisher

Abstract

We propose a matrix characterization and optimization method using the wavefront matching algorithm. Simulation results indicate that this method can achieve a matrix size of$121\times 121$with a fidelity of over 99%.

DOI
10.1109/acp/ipoc63121.2024.10809626

Related papers

Simple measurements and efficient optimization of linear optical networks

Shannon M. Ray, A. Matthew Smith, Daniel Koch +3 more

In this proceeding, we describe a simulated model for the characterization of arbitrary unitary matrices implemented by an reconfigurable linear optical network. We build on the method of Hoch et. al, which itself builds on Liang et. al, for characterizing the arbitrary unitary transformation, U, implemented on such devices as an equivalent real bordered form Urb. We disscuss how the measurement scheme requires fewer and simpler measurements than. We describe a solution that utilizes a novel algorithm to efficiently recover the complex signs of Urb under measurement noise and scaling with system size N.

Quantum Computing, Communication, and Simulation•Mar 19, 2025•0 citations

Vector alignment with unitary matrices

Nicolas Barré

This article provides simple procedures to construct either a symmetric unitary matrix or a special unitary matrix that align two 2-dimensional complex vectors.

•May 19, 2019•0 citations

Efficient optimization for practical characterization of linear optical multiport devices

Shannon M. Ray, A. Matthew Smith, Daniel Koch +3 more

We present a simulated model to study the characterization of arbitrary unitary matrices implemented in an NxN integrated photonic Mach–Zehnder interferometer (MZI) mesh. We extend the measurement method of Hoch et al., which itself generalizes Liang et al., for the practical characterization of an arbitrary unitary transformation, U, implemented on such devices as an equivalent real bordered form Urb. The measurement scheme and reconstruction shown here require fewer and simpler measurements than Liang et al. and are more complete than Hoch et al. Completing the method of Hoch using our hybrid greedy-Tabu and Breadth First Search (BFS) algorithm makes our scheme practical in the sense that only simple classical resources are needed. This allows for practical characterization of the phases of Urb outside of a laboratory setting. We examine the performance of our reconstruction under simulated measurement noise and its scaling in time as a function of system size N.

Optical Engineering•Aug 21, 2025•0 citations

Manifestation of quantum images using unitary matrix encoding

R. S. Amal, Suresh Kannan

The European Physical Journal Plus•Apr 9, 2022•1 citation

Unitary transformations of spatial modes for quantum experiments

Markus Hiekkamäki

Spatial modes have attracted a lot of attention in the quantum optics community because of their possible application in high-dimensional quantum bits, i.e. qudits. One crucial task in quantum communication and computation applications, is the ability to perform unitary transformations on these qudits. However, arbitrary unitary transformations between full-field spatial modes have not been realized so far. Thus, in order to bring spatial modes closer to communication and computation applications, methods for performing these transformations need to be devised. \n \nIn this thesis, we introduce a method for generating these unitary transformations. The method is based on multi-plane light conversion (MPLC), where the spatial structure of light is transformed through multiple consecutive transverse-phase modulations. The method we use for generating these task specific phase-modulations is called wavefront matching (WFM). \n \nThis thesis consists of three main sections. First, we will introduce some necessary theory behind high-dimensional quantum-states and single photons. We will also explore some theory behind the generation of single photons and introduce light's spatial modes in more detail. Second, we will introduce WFM along with other methods we needed for testing the unitary transformations experimentally. Finally, we will experimentally test the mode transformations in a spatial mode filter and in multi-mode transformations. We apply the mode filter in quantum key distribution (QKD) and quantum state tomography (QST) measurements, and we implement different high-dimensional quantum gates using the multi-mode transformations. Additionally, we introduce a method of potentially observing two-photon interference with these unitary transformations. \n \nWith the mode filter, we achieved error rates below five percent and in the QKD application we measured a theoretical data transmission rate of 1.98 bits per measured photon. With the quantum gates, we achieved accuracies of up to 98\\% in all mutually unbiased bases (MUBs). The results shown in this thesis demonstrate the efficiency and unitarity of WFM in a broad set of different tasks. All the shown tasks are important in high-dimensional quantum communication and computation, and hence we believe that WFM will become an important tool in high-dimensional quantum information processing. We also give an outlook on how WFM could potentially be improved, and list some additional tasks, in which WFM could be useful. We believe that the broad applicability of WFM will enable some unexplored quantum information or photonics applications.

•Jan 1, 2019•0 citations

Efficient Computation Techniques and Hardware Architectures for Unitary Transformations in Support of Quantum Algorithm Emulation

Naveed Mahmud, Bennett Haase-Divine, Annika Kuhnke +3 more

Journal of Signal Processing Systems•Jul 14, 2020•16 citations
We propose a matrix characterization and optimization method using the wavefront matching algorithm. Simulation results indicate that this method can achieve a matrix size of121×121121\times 121121×121with a fidelity of over 99%.
In this proceeding, we describe a simulated model for the characterization of arbitrary unitary matrices implemented by an reconfigurable linear optical network. We build on the method of Hoch et. al, which itself builds on Liang et. al, for characterizing the arbitrary unitary transformation, U, implemented on such devices as an equivalent real bordered form Urb. We disscuss how the measurement scheme requires fewer and simpler measurements than. We describe a solution that utilizes a novel algorithm to efficiently recover the complex signs of Urb under measurement noise and scaling with system size N.
We present a simulated model to study the characterization of arbitrary unitary matrices implemented in an NxN integrated photonic Mach–Zehnder interferometer (MZI) mesh. We extend the measurement method of Hoch et al., which itself generalizes Liang et al., for the practical characterization of an arbitrary unitary transformation, U, implemented on such devices as an equivalent real bordered form Urb. The measurement scheme and reconstruction shown here require fewer and simpler measurements than Liang et al. and are more complete than Hoch et al. Completing the method of Hoch using our hybrid greedy-Tabu and Breadth First Search (BFS) algorithm makes our scheme practical in the sense that only simple classical resources are needed. This allows for practical characterization of the phases of Urb outside of a laboratory setting. We examine the performance of our reconstruction under simulated measurement noise and its scaling in time as a function of system size N.
Spatial modes have attracted a lot of attention in the quantum optics community because of their possible application in high-dimensional quantum bits, i.e. qudits. One crucial task in quantum communication and computation applications, is the ability to perform unitary transformations on these qudits. However, arbitrary unitary transformations between full-field spatial modes have not been realized so far. Thus, in order to bring spatial modes closer to communication and computation applications, methods for performing these transformations need to be devised. \n \nIn this thesis, we introduce a method for generating these unitary transformations. The method is based on multi-plane light conversion (MPLC), where the spatial structure of light is transformed through multiple consecutive transverse-phase modulations. The method we use for generating these task specific phase-modulations is called wavefront matching (WFM). \n \nThis thesis consists of three main sections. First, we will introduce some necessary theory behind high-dimensional quantum-states and single photons. We will also explore some theory behind the generation of single photons and introduce light's spatial modes in more detail. Second, we will introduce WFM along with other methods we needed for testing the unitary transformations experimentally. Finally, we will experimentally test the mode transformations in a spatial mode filter and in multi-mode transformations. We apply the mode filter in quantum key distribution (QKD) and quantum state tomography (QST) measurements, and we implement different high-dimensional quantum gates using the multi-mode transformations. Additionally, we introduce a method of potentially observing two-photon interference with these unitary transformations. \n \nWith the mode filter, we achieved error rates below five percent and in the QKD application we measured a theoretical data transmission rate of 1.98 bits per measured photon. With the quantum gates, we achieved accuracies of up to 98\\% in all mutually unbiased bases (MUBs). The results shown in this thesis demonstrate the efficiency and unitarity of WFM in a broad set of different tasks. All the shown tasks are important in high-dimensional quantum communication and computation, and hence we believe that WFM will become an important tool in high-dimensional quantum information processing. We also give an outlook on how WFM could potentially be improved, and list some additional tasks, in which WFM could be useful. We believe that the broad applicability of WFM will enable some unexplored quantum information or photonics applications.