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We present a programmable silicon photonic circuit composed of cascaded multiport directional couplers interleaved with thermo-optic phase shifters. The device forms a reconfigurable interferometric network capable of realizing arbitrary $N…

A systematic method for simulating small-scale quantum circuits by use of linear optical devices is presented. It relies on the representation of several quantum bits by a single photon, and on the implementation of universal quantum gates…

Quantum Physics · Physics 2009-10-30 N. J. Cerf , C. Adami , P. G. Kwiat

Fock states are the most fundamental quantum states of bosonic fields, forming an important basis for understanding their quantum dynamics. As energy and number eigenstates, they have an exactly defined number of quanta, and most faithfully…

Quantum Physics · Physics 2022-02-22 Nicholas Rivera , Jamison Sloan , Yannick Salamin , Marin Soljacic

Future quantum computation and networks require scalable monolithic circuits, which incorporate various advanced functionalities on a single physical substrate. Although substantial progress for various applications has already been…

We report photonic quantum circuits created using an ultrafast laser processing technique that is rapid, requires no lithographic mask and can be used to create three-dimensional networks of waveguide devices. We have characterized…

Quantum Physics · Physics 2011-06-09 G. D. Marshall , A. Politi , J. C. F. Matthews , P. Dekker , M. Ams , M. J. Withford , J. L. O'Brien

Linear optics with photon counting is a prominent candidate for practical quantum computing. The protocol by Knill, Laflamme, and Milburn [Nature 409, 46 (2001)] explicitly demonstrates that efficient scalable quantum computing with single…

Quantum Physics · Physics 2007-05-23 Pieter Kok , W. J. Munro , Kae Nemoto , T. C. Ralph , Jonathan P. Dowling , G. J. Milburn

In the realm of quantum computing, quantum circuits serve as essential depictions of quantum algorithms, which are then compiled into executable operations for quantum computations. Quantum compilers are responsible for converting these…

Cryptography and Security · Computer Science 2026-03-02 Vincent Langford , Shihan Zhao , Hongyu Zhang , Ben Dong , Qian Wang , Anees Rehman , Yuntao Liu

We propose and analyze a multi-functional setup consisting of high finesse optical cavities, beam splitters, and phase shifters. The basic scheme projects arbitrary photonic two-mode input states onto the subspace spanned by the product of…

Quantum Physics · Physics 2015-03-13 Anne E. B. Nielsen , Christine A. Muschik , Geza Giedke , K. G. H. Vollbrecht

One of the main advantages of an optical approach to quantum computing is the fact that optical fibers can be used to connect the logic and memory devices to form useful circuits, in analogy with the wires of a conventional computer. Here…

Quantum Physics · Physics 2016-09-08 T. B. Pittman , B. C Jacobs , J. D. Franson

Photonics offers a promising platform for implementations of measurement-based quantum computing. Recently proposed fusion-based architectures aim to achieve universality and fault-tolerance. In these approaches, computation is carried out…

Quantum Physics · Physics 2024-09-23 Giovanni de Felice , Boldizsár Poór , Lia Yeh , William Cashman

Atomic (qubit) and optical or microwave (modal) phase-estimation protocols are placed on the same footing in terms of quantum-circuit diagrams. Circuit equivalences are used to demonstrate the equivalence of protocols that achieve the…

Quantum Physics · Physics 2015-05-14 Carlton M. Caves , Anil Shaji

In this paper, we develop a graphical calculus to rewrite photonic circuits involving light-matter interactions and non-linear optical effects. We introduce the infinite ZW calculus, a graphical language for linear operators on the bosonic…

Quantum Physics · Physics 2023-09-01 Giovanni de Felice , Razin A. Shaikh , Boldizsár Poór , Lia Yeh , Quanlong Wang , Bob Coecke

Photonic circuits are central to classical and quantum information processing. While integrated technologies dominate, free-space architectures are emerging as attractive alternatives, offering broad bandwidth and direct manipulation of…

Recent advancements in quantum photonics have driven significant progress in photonic quantum computing (PQC), addressing challenges in scalability, efficiency, and fault tolerance. Experimental efforts have focused on integrated photonic…

Quantum Physics · Physics 2025-01-07 Dennis Delali Kwesi Wayo , Leonardo Goliatt , Darvish Ganji

Universal quantum gates lie at the heart of designing quantum computer. We construct two compact quantum circuits to implement post-selected controlled-phase-flip (CPF) gate and Toffoli gate with linear optics assisted by one and two single…

Quantum Physics · Physics 2022-11-18 Wen-Qiang Liu , Hai-Rui Wei

Linear optics quantum logic gates are the best tool to generate multi-photon entanglement. Simplifying a recent approach [Phys. Rev. A 65, 062324; Phys. Rev. A 66, 024308] we were able to implement the conditional phase gate with only one…

Quantum Physics · Physics 2009-11-11 Nikolai Kiesel , Christian Schmid , Ulrich Weber , Rupert Ursin , Harald Weinfurter

Linear transformations are cornerstone operations utilized in modern computing, but are computationally expensive on current electronic platforms. Optical computing has been positioned as a new computing solution, promising high speed and…

Optics · Physics 2025-12-29 Kevin Zelaya , Jonathan Friedman , Mohammad-Ali Miri

Linear optics underpins tests of fundamental quantum mechanics and computer science, as well as quantum technologies. Here we experimentally demonstrate the longstanding goal of a single reprogrammable optical circuit that is sufficient to…

The ZW-calculus is a graphical language capable of representing 2-dimensional quantum systems (qubit) through its diagrams, and manipulating them through its equational theory. We extend the formalism to accommodate finite dimensional…

Quantum Physics · Physics 2024-12-06 Marc de Visme , Renaud Vilmart

We show that quantum computation circuits using coherent states as the logical qubits can be constructed from simple linear networks, conditional photon measurements and "small" coherent superposition resource states.

Quantum Physics · Physics 2009-11-10 T. C. Ralph , A. Gilchrist , G. J. Milburn , W. J. Munro , S. Glancy