Quantum circuits for simulating linear interferometers

• URL: http://arxiv.org/abs/2504.16880v2
• Date: Thu, 04 Sep 2025 20:08:56 GMT
• Title: Quantum circuits for simulating linear interferometers
• Abstract summary: Motivated by recent proposals for quantum proof of work protocols, we investigate approaches for simulating linear optical interferometers.<n>We focus on a second quantisation approach, where the quantum computer's registers represent optical modes.<n>We can then use standard quantum optical techniques to decompose the unitary matrix describing an interferometer into an array of 2 by 2 unitaries.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Motivated by recent proposals for quantum proof of work protocols, we investigate approaches for simulating linear optical interferometers using digital quantum circuits. We focus on a second quantisation approach, where the quantum computer's registers represent optical modes. We can then use standard quantum optical techniques to decompose the unitary matrix describing an interferometer into an array of 2 by 2 unitaries, which are subsequently synthesised into quantum circuits and stitched together to complete the circuit. For an $m$ mode interferometer with $n$ identical photons, this method requires approximately $\mathcal{O}(m \log(n))$ qubits and a circuit depth of $\mathcal{O}(m n^4 \log_2(n) \: \textrm{polylog}(n^4 / \epsilon))$. We present a software package Aquinas (A quantum interferometer assembler) that uses this approach to generate such quantum circuits. For reference, an arbitrary five mode interferometer with two identical photons is compiled to a 10 qubit quantum circuit with a depth of 1972.

Related papers

• Gate-based emulation of boson sampling using photonic qubits [5.932899952059781]
  Boson sampling arising from multiphoton interference in linear-optical networks is a prominent non-universal model for quantum computation.<n>We present a scalable quantum-circuit framework for simulating boson sampling on a universal quantum computing platform.
  arXiv  Detail & Related papers  (2026-08-10T12:13:38Z)
• Waveguides in a quantum perspective [49.1574468325115]
  Solid state quantum devices, operated at dilution cryostat temperatures, are relying on microwave signals to drive and read-out their quantum states.<n>Here we report on the quantum theory that describes the simplest Cartesian-type geometries: parallel plates, and rectangular tubes.
  arXiv  Detail & Related papers  (2025-05-20T12:42:07Z)
• Simulating electronic structure on bosonic quantum computers [34.84696943963362]
  We propose an approach to map the electronic Hamiltonian into a qumode bosonic problem that can be solved on bosonic quantum devices.<n>This work establishes a new pathway for simulating many-fermion systems, highlighting the potential of hybrid qubit-qumode quantum devices.
  arXiv  Detail & Related papers  (2024-04-16T02:04:11Z)
• On-chip quantum interference between independent lithium niobate-on-insulator photon-pair sources [35.310629519009204]
  A lithium niobate-on-insulator (LNOI) integrated photonic circuit generates a two-photon path-entangled state, and a programmable interferometer for quantum interference. We generate entangled photons with $sim2.3times108$ pairs/s/mW brightness and perform quantum interference experiments on the chip with $96.8pm3.6%$ visibility. Our results provide a path towards large-scale integrated quantum photonics including efficient photon-pair generation and programmable circuits for applications such as boson sampling and quantum communications.
  arXiv  Detail & Related papers  (2024-04-12T10:24:43Z)
• Experimental realization of universal quantum gates and six-qubit entangled state using photonic quantum walk [2.2006360539727923]
  We experimentally demonstrate the realization of a universal set of quantum gates with high fidelity at room temperature.<n>For a three-qubit system using a single photon, the first qubit is encoded using polarization information, and the other two qubits are encoded using path information.<n>To generate a six-qubit Greenberger-Horne-Zeilinger state, entangled photon pairs are used to entangle the two three-qubit modules.
  arXiv  Detail & Related papers  (2024-03-11T12:32:22Z)
• Towards large-scale quantum optimization solvers with few qubits [59.63282173947468]
  We introduce a variational quantum solver for optimizations over $m=mathcalO(nk)$ binary variables using only $n$ qubits, with tunable $k>1$. We analytically prove that the specific qubit-efficient encoding brings in a super-polynomial mitigation of barren plateaus as a built-in feature.
  arXiv  Detail & Related papers  (2024-01-17T18:59:38Z)
• Classical variational optimization of PREPARE circuit for quantum phase estimation of quantum chemistry Hamiltonians [0.7332146059733189]
  We propose a method for constructing $textttPREPARE$ circuits for quantum phase estimation of a molecular Hamiltonian in quantum chemistry.<n>The $textttPREPARE$ circuit generates a quantum state which encodes the coefficients of the terms in the Hamiltonian as probability amplitudes.
  arXiv  Detail & Related papers  (2023-08-26T05:32:38Z)
• High-throughput quantum photonic devices emitting indistinguishable photons in the telecom C-band [28.279056210896716]
  Single indistinguishable photons at telecom C-band wavelengths are essential for quantum networks and the future quantum internet. We demonstrate the high- throughput fabrication of quantum-photonic integrated devices operating at C-band wavelengths based on epitaxial semiconductor quantum dots. Further improvements in yield and coherence properties will pave the way for implementing single-photon non-linear devices and advanced quantum networks at telecom wavelengths.
  arXiv  Detail & Related papers  (2023-04-05T15:39:22Z)
• Circuit Implementation of Discrete-Time Quantum Walks via the Shunt Decomposition Method [1.2183405753834557]
  In this paper, we analyze the mapping process of block diagonal operators into quantum circuit form. The obtained circuits are then executed on quantum processors of the type Falcon r5.11L and Falcon r4T.
  arXiv  Detail & Related papers  (2023-04-04T03:20:55Z)
• 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)
• Demonstration of a bosonic quantum classifier with data re-uploading [0.1616312990391151]
  In a single qubit system, a universal quantum classifier can be realised using the data-reuploading technique. We propose a new quantum classifier applying this technique to bosonic systems and successfully demonstrated it using silicon optical integrated quantum circuits.
  arXiv  Detail & Related papers  (2022-07-14T02:05:55Z)
• 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)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Halving the cost of quantum multiplexed rotations [0.0]
  We improve the number of $T$ gates needed for a $b$-bit approximation of a multiplexed quantum gate with $c$ controls. Our results roughly halve the cost of state-of-art electronic structure simulations based on qubitization of double-factorized or tensor-hypercontracted representations.
  arXiv  Detail & Related papers  (2021-10-26T06:49:44Z)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• Quantum circuit to estimate pi using quantum amplitude estimation [0.0]
  The proposed quantum circuit to estimate pi is based on the Monte Carlo method, quantum amplitude estimation, and quantum squarer. By applying the quantum squarer using QFT, the circuit was implemented in $ 4n + 1 $ qubits at $ 22n $ sampling.
  arXiv  Detail & Related papers  (2020-08-04T05:04:57Z)
• Generating Spatially Entangled Itinerant Photons with Waveguide Quantum Electrodynamics [43.53795072498062]
  In this work, we demonstrate the deterministic generation of such photons using superconducting transmon qubits that are directly coupled to a waveguide. We generate two-photon N00N states and show that the state and spatial entanglement of the emitted photons are tunable via the qubit frequencies.
  arXiv  Detail & Related papers  (2020-03-16T16:03:27Z)
• Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
  We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
  arXiv  Detail & Related papers  (2020-02-21T16:00:36Z)

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.