QOptCraft: A Python package for the design and study of linear optical quantum systems

• URL: http://arxiv.org/abs/2108.06186v2
• Date: Wed, 26 Jul 2023 09:58:36 GMT
• Title: QOptCraft: A Python package for the design and study of linear optical quantum systems
• Authors: Daniel G\'omez Aguado, Vicent Gimeno, Julio Jos\'e Moyano-Fern\'andez, Juan Carlos Garcia-Escartin
• Abstract summary: The package QOptCraft gives a collection of methods to solve some of the most usual problems when designing quantum experiments with linear interferometers. The routines are chosen to avoid usual numerical problems when dealing with the unitary matrices that appear in the description of linear systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most usual problems when designing quantum experiments with linear interferometers. The methods include functions that compute the quantum evolution matrix for n photons from the classical description of the system and inverse methods that, for any desired quantum evolution, will either give the complete description of the experimental system that realizes that unitary evolution or, when this is impossible, the complete description of the linear system which approximates the desired unitary with a locally minimal error. The functions in the package include implementations of different known decompositions that translate the classical scattering matrix of a linear system into a list of beam splitters and phase shifters and methods to compute the effective Hamiltonian that describes the quantum evolution of states with n photons. The package is completed with routines for useful tasks like generating random linear optical systems and computing matrix logarithms. The routines are chosen to avoid usual numerical problems when dealing with the unitary matrices that appear in the description of linear systems.

Related papers

• Emulating quantum computing with optical matrix multiplication [0.0]
  Optical computing harnesses the speed of light to perform vector-matrix operations efficiently. We formulate the process of photonic matrix multiplication using quantum mechanical principles. We demonstrate a well known algorithm, namely the Deutsch-Jozsa's algorithm.
  arXiv  Detail & Related papers  (2024-07-19T10:11:06Z)
• Dense outputs from quantum simulations [5.295277584890625]
  The quantum dense output problem is the process of evaluating time-accumulated observables from time-dependent quantum dynamics. This problem arises frequently in applications such as quantum control and spectroscopic computation. We present a range of algorithms designed to operate on both early and fully fault-tolerant quantum platforms.
  arXiv  Detail & Related papers  (2023-07-26T18:16:51Z)
• A hybrid quantum-classical algorithm for multichannel quantum scattering of atoms and molecules [62.997667081978825]
  We propose a hybrid quantum-classical algorithm for solving the Schr"odinger equation for atomic and molecular collisions. The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes the fundamental scattering $S$-matrix. We show how the algorithm could be scaled up to simulate collisions of large polyatomic molecules.
  arXiv  Detail & Related papers  (2023-04-12T18:10:47Z)
• Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra via Schrodingerisation [32.104513049339936]
  We introduce the quantum Jacobi and quantum power methods for solving the quantum linear systems of equations. The proposed quantum simulation can be performed on either discrete-variable quantum systems or on hybrid continuous-variable and discrete-variable quantum systems.
  arXiv  Detail & Related papers  (2023-04-06T04:55:15Z)
• Efficient estimation of trainability for variational quantum circuits [43.028111013960206]
  We find an efficient method to compute the cost function and its variance for a wide class of variational quantum circuits. This method can be used to certify trainability for variational quantum circuits and explore design strategies that can overcome the barren plateau problem.
  arXiv  Detail & Related papers  (2023-02-09T14:05:18Z)
• QuDPy: A Python-Based Tool For Computing Ultrafast Non-linear Optical Responses [5.787049285733455]
  We present the initial release of our code, QuDPy (quantum dynamics in python) An important feature of our approach is that one can specify various high-order optical response pathways. We use the quantum dynamics capabilities of QuTip for simulating the spectral response of complex systems.
  arXiv  Detail & Related papers  (2022-10-28T18:44:52Z)
• Linear quantum systems: a tutorial [2.83114308547142]
  This tutorial is to give a brief introduction to linear quantum control systems. The quantum Kalman filter is presented for quantum linear systems. As single- and multi-photon states are useful resources in quantum information technology, the response of quantum linear systems to these types of input is presented.
  arXiv  Detail & Related papers  (2022-05-09T07:25:30Z)
• Quantum algorithms for matrix operations and linear systems of equations [65.62256987706128]
  We propose quantum algorithms for matrix operations using the "Sender-Receiver" model. These quantum protocols can be used as subroutines in other quantum schemes.
  arXiv  Detail & Related papers  (2022-02-10T08:12:20Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• Linear embedding of nonlinear dynamical systems and prospects for efficient quantum algorithms [74.17312533172291]
  We describe a method for mapping any finite nonlinear dynamical system to an infinite linear dynamical system (embedding) We then explore an approach for approximating the resulting infinite linear system with finite linear systems (truncation)
  arXiv  Detail & Related papers  (2020-12-12T00:01:10Z)
• Rapid characterisation of linear-optical networks via PhaseLift [51.03305009278831]
  Integrated photonics offers great phase-stability and can rely on the large scale manufacturability provided by the semiconductor industry. New devices, based on such optical circuits, hold the promise of faster and energy-efficient computations in machine learning applications. We present a novel technique to reconstruct the transfer matrix of linear optical networks.
  arXiv  Detail & Related papers  (2020-10-01T16:04:22Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.