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We study the class of two qubit gates which can be achieved using only linear optical elements (beam splitters and phase shifters) and post-selection. We are able to exactly characterize this set, and find that it is impossible to implement…

Quantum Physics · Physics 2014-04-02 Josh Cadney

We show that optically encoded two-qubit Bell states can be unambiguously discriminated with a success probability of more than 50% in both single-rail and dual-rail encodings by using active linear-optical resources that include Gaussian…

Quantum Physics · Physics 2015-06-12 Hussain A. Zaidi , Peter van Loock

In this paper, with the weak cross-Kerr nonlinearity, we first present a special experimental scheme called C-path gate with which the realization of all possible bipartite POVMs of two-photon polarization states can be simpler and nearly…

Quantum Physics · Physics 2009-02-26 Qing Lin , Jian Li

Recent experiments on the propagation of light over a distance L through a random packing of spheres with a power law distribution of radii (a socalled L\'evy glass) have found that the transmission probability T \propto 1/L^{\gamma} scales…

Disordered Systems and Neural Networks · Physics 2015-03-19 C. W. Groth , A. R. Akhmerov , C. W. J. Beenakker

We discuss techniques for producing, manipulating and measureing qubits encoded optically as vacuum and single photon states. We show that a universal set of non-deterministic gates can be constructed using linear optics and photon…

Quantum Physics · Physics 2009-11-07 A. P. Lund , T. C. Ralph

We have realized the nonlinear sign shift (NS) operation for photonic qubits.This operation shifts the phase of two photons reflected by a beam splitter using an extra single photon and measurement. We show that the conditional phase shift…

Quantum Physics · Physics 2009-11-10 Kaoru Sanaka , Thomas Jennewein , Jian-Wei Pan , Kevin Resch , Anton Zeilinger

Two photons in free space pass each other undisturbed. This is ideal for the faithful transmission of information, but prohibits an interaction between the photons as required for a plethora of applications in optical quantum information…

Quantum Physics · Physics 2017-02-17 Bastian Hacker , Stephan Welte , Gerhard Rempe , Stephan Ritter

We propose a framework to analyze linear optical circuits based on an analogy with stabilizer formalism in quantum circuits, which provides efficiently computable formulas related to state discriminations. Hence, we analyze a Bell-state…

Quantum Physics · Physics 2023-01-18 Tomohiro Yamazaki , Rikizo Ikuta , Takashi Yamamoto

Retrieving classical information encoded in optical modes is at the heart of many quantum information processing tasks, especially in the field of quantum communication and sensing. Yet, despite its importance, the fundamental limits of…

Quantum Physics · Physics 2021-05-11 Ignatius William Primaatmaja , Asaph Ho , Valerio Scarani

Motivated by practical concerns in cryptography, we study pseudorandomness properties of permutations on $\{0,1\}^n$ computed by random circuits made from reversible $3$-bit gates (permutations on $\{0,1\}^3$). Our main result is that a…

Cryptography and Security · Computer Science 2025-02-12 William Gay , William He , Nicholas Kocurek , Ryan O'Donnell

We theoretically present a method to realize a deterministic photon-photon (SWAP)^{1/2} gate using a three-level lambda system interacting with single photons in reflection geometry. The lambda system is used completely passively as a…

Quantum Physics · Physics 2015-05-14 Kazuki Koshino , Satoshi Ishizaka , Yasunobu Nakamura

In principle the Zeno effect controlled-sign gate of Franson et al's (PRA 70, 062302, 2004) is a deterministic two-qubit optical gate. However, when realistic values of photon loss are considered its fidelity is significantly reduced. Here…

Quantum Physics · Physics 2009-11-13 Patrick M. Leung , Timothy C. Ralph

Here we propose an experiment in Linear Optical Quantum Computing (LOQC) using the framework first developed by Knill, Laflamme, and Milburn. This experiment will test the ideas of the authors' previous work on imperfect LOQC gates using…

Quantum Physics · Physics 2012-09-07 A. Matthew Smith , D. B. Uskov , M. Fanto , L. H. Ying , L. Kaplan

We demonstrate suppression and enhancement of spontaneous parametric down- conversion via quantum interference with two weak fields from a local oscillator (LO). Pairs of LO photons are observed to upconvert with high efficiency for…

Quantum Physics · Physics 2009-11-07 K. J. Resch , J. S. Lundeen , A. M. Steinberg

We report on the first experimental realization of optimal linear-optical controlled phase gates for arbitrary phases. The realized scheme is entirely flexible in that the phase shift can be tuned to any given value. All such controlled…

Quantum Physics · Physics 2015-05-19 Karel Lemr , Antonin Cernoch , Jan Soubusta , Konrad Kieling , Jens Eisert , Miloslav Dusek

We prove that with high probability, a uniform sample of $n$ points in a convex domain in $\mathbb{R}^d$ can be rounded to points on a grid of step size proportional to $1/n^{d+1+\epsilon}$ without changing the underlying chirotope…

Computational Geometry · Computer Science 2020-01-23 Jean Cardinal , Ruy Fabila-Monroy , Carlos Hidalgo-Toscano

Future quantum optical networks will require the ability to route entangled photons at high speeds, with minimal loss and added in-band noise, and---most importantly---without disturbing the photons' quantum state. Here we present an…

Quantum Physics · Physics 2015-05-28 Matthew A. Hall , Joseph B. Altepeter , Prem Kumar

We investigate the single mode operation of a quantum optical nonlinear \pi phase shift gate implemented by a single two-level atom in one-dimensional free space. Since the single mode property of the input photons at the atom is not…

Quantum Physics · Physics 2009-11-10 Kunihiro Kojima , Holger F. Hofmann , Shigeki Takeuchi , Keiji Sasaki

We report the first experimental demonstration of a quantum controlled-NOT gate for different photons, which is classically feed-forwardable. In the experiment, we achieved this goal with the use only of linear optics, an entangled…

Quantum Physics · Physics 2009-11-10 Sara Gasparoni , Jian-Wei Pan , Philip Walther , Terry Rudolph , Anton Zeilinger

We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$…

Quantum Physics · Physics 2025-10-23 Tomohiro Yamazaki , Koji Azuma