Quantum Linear Optics via String Diagrams
- URL: http://arxiv.org/abs/2204.12985v4
- Date: Wed, 15 Nov 2023 18:52:02 GMT
- Title: Quantum Linear Optics via String Diagrams
- Authors: Giovanni de Felice (Quantinuum), Bob Coecke (Quantinuum)
- Abstract summary: We establish a formal bridge between qubit-based and photonic quantum computing.
We do this by defining a functor from the ZX calculus to linear optical circuits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We establish a formal bridge between qubit-based and photonic quantum
computing. We do this by defining a functor from the ZX calculus to linear
optical circuits. In the process we provide a compositional theory of quantum
linear optics which allows to reason about events involving multiple photons
such as those required to perform linear-optical and fusion-based quantum
computing.
Related papers
- Simple rules for two-photon state preparation with linear optics [0.0]
Entangling photons is a crucial resource for quantum communication and computation.
We leverage a two-photon state matrix representation to derive necessary and sufficient conditions on two-photon entangling operations with linear optics.
arXiv Detail & Related papers (2024-05-02T15:38:58Z) - A Complete Graphical Language for Linear Optical Circuits with
Finite-Photon-Number Sources and Detectors [0.0]
We introduce the $textbfLO_fi$-calculus, a graphical language to reason on the infinite-dimensional bosonic Fock space.
We present an equational theory that we prove to be complete: two $textbfLO_fi$-circuits represent the same quantum process.
arXiv Detail & Related papers (2024-02-27T17:08:47Z) - Deterministic entangling gates with nonlinear quantum photonic
interferometers [0.0]
We propose to exploit weakly nonlinear photonic devices to implement deterministic entangling quantum gates.
It is shown that a universal set of single- and two-qubit gates can be designed by a suitable concatenation of few optical interferometric elements.
arXiv Detail & Related papers (2023-06-08T09:43:48Z) - QUICK$^3$ -- Design of a satellite-based quantum light source for
quantum communication and extended physical theory tests in space [73.86330563258117]
Single photon source can enhance secure data rates in satellite-based quantum key distribution scenarios.
payload is being integrated into a 3U CubeSat and scheduled for launch in 2024 into low Earth orbit.
arXiv Detail & Related papers (2023-01-26T15:34:11Z) - Integrated Quantum Optical Phase Sensor [48.7576911714538]
We present a photonic integrated circuit fabricated in thin-film lithium niobate.
We use the second-order nonlinearity to produce a squeezed state at the same frequency as the pump light and realize circuit control and sensing with electro-optics.
We anticipate that on-chip photonic systems like this, which operate with low power and integrate all of the needed functionality on a single die, will open new opportunities for quantum optical sensing.
arXiv Detail & Related papers (2022-12-19T18:46:33Z) - Few-photon transport via a multimode nonlinear cavity: theory and
applications [0.0]
We study few-photon transport via a waveguide-coupled multimode optical cavity with second-order bulk nonlinearity.
Our results might lead to significant applications of quantum photonic circuits in all-optical quantum information processing and quantum network protocols.
arXiv Detail & Related papers (2022-09-08T15:28:05Z) - A Complete Equational Theory for Quantum Circuits [58.720142291102135]
We introduce the first complete equational theory for quantum circuits.
Two circuits represent the same unitary map if and only if they can be transformed one into the other using the equations.
arXiv Detail & Related papers (2022-06-21T17:56:31Z) - Tunable photon-mediated interactions between spin-1 systems [68.8204255655161]
We show how to harness multi-level emitters with several optical transitions to engineer photon-mediated interactions between effective spin-1 systems.
Our results expand the quantum simulation toolbox available in cavity QED and quantum nanophotonic setups.
arXiv Detail & Related papers (2022-06-03T14:52:34Z) - LOv-Calculus: A Graphical Language for Linear Optical Quantum Circuits [58.720142291102135]
We introduce the LOv-calculus, a graphical language for reasoning about linear optical quantum circuits.
Two LOv-circuits represent the same quantum process if and only if one can be transformed into the other with the rules of the LOv-calculus.
arXiv Detail & Related papers (2022-04-25T16:59:26Z) - A scheme for universal high-dimensional quantum computation with linear
optics [0.0]
We show how to generate GHZ states in arbitrary dimensions and numbers of photons using linear optical circuits.
We show that universal linear optical quantum computing can be performed in arbitrary dimensions.
arXiv Detail & Related papers (2021-05-06T15:16:18Z) - 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.