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We present an efficient family of quantum circuits for a fundamental primitive in quantum information theory, the Schur transform. The Schur transform on n d-dimensional quantum systems is a transform between a standard computational basis…

Quantum Physics · Physics 2008-06-28 Dave Bacon , Isaac L. Chuang , Aram W. Harrow

This thesis presents an efficient quantum algorithm and explicit circuits for generating eigenstates of arbitrary SU(2) and SU(3) representations. These include a wide variety of highly entangled states. The algorithm uses Schur transform…

Quantum Physics · Physics 2013-09-12 Satya Sainadh U

We report an experimental implementation of tripartite controlled quantum teleportation on the quantum optical devices. The protocol is performed through bi- and tripartite entangled channels of discrete variables and qubits encoded in…

Quantum Physics · Physics 2019-03-27 Artur Barasiński , Antonín Černoch , Karel Lemr

Any bipartite nonlocal unitary operation can be carried out by teleporting a quantum state from one party to the other, performing the unitary gate locally, and teleporting a state back again. This paper investigates unitaries which can be…

Quantum Physics · Physics 2010-06-22 Li Yu , Robert B. Griffiths , Scott M. Cohen

This study investigates quantum energy teleportation (QET) using stochastic bi-partitioning in an $N-$body Hamiltonian system. In this protocol, project measurements are performed on $(N - m)$ qubits to capture quantum fluctuation…

Quantum Physics · Physics 2024-10-08 Zhirong Xun , Changliang Ren

The ability to engineer parallel, programmable operations between desired qubits within a quantum processor is central for building scalable quantum information systems. In most state-of-the-art approaches, qubits interact locally,…

Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for linear differential equations, the linearity of quantum…

Quantum time evolution exhibits rich physics, attributable to the interplay between the density and phase of a wave function. However, unlike classical heat diffusion, the wave nature of quantum mechanics has not yet been extensively…

Quantum Physics · Physics 2018-08-08 Chenchao Zhao , Jun S. Song

It is a major challenge to construct good quantum codes supporting fault-tolerant (e.g. transversal) non-Clifford gates with low-weight parity-check measurements. In this paper, we construct the first known quantum codes with linear…

Quantum Physics · Physics 2025-10-09 Louis Golowich , Venkatesan Guruswami

Distributed quantum computing (DQC) is a new paradigm aimed at scaling up quantum computing via the interconnection of smaller quantum processing units (QPUs). Shared entanglement allows teleportation of both states and gates between QPUs.…

Quantum Physics · Physics 2025-01-22 Felix Burt , Kuan-Cheng Chen , Kin Leung

We consider multiple teleportation in the Knill-Laflamme-Milburn (KLM) scheme. We introduce adaptive teleportation, i.e., such that the choice of entangled state used in the next teleportation depends on the results of the measurements…

Quantum Physics · Physics 2009-06-07 Joanna Modlawska , Andrzej Grudka

Shor's algorithm efficiently solves factoring and discrete logarithm problems using quantum computers, compromising all public key schemes used today. These schemes rely on assumptions on their computational complexity, which quantum…

Quantum Physics · Physics 2025-02-25 Jaime S. Buruaga , Ruben B. Méndez , Juan P. Brito , Vicente Martin

We demonstrate how insights gained from reformulating the problem of quantum teleportation into one of reversing quantum operations, and designing optimum completely positive maps for teleportation, can enable one to explore optimal…

Quantum Physics · Physics 2007-05-23 Ye Yeo

Quantum teleportation is an essential application of quantum entanglement. The examination of teleportation fidelity in two-party standard teleportation schemes reveals a critical threshold distinguishing separable and entangled states. For…

Quantum Physics · Physics 2024-06-05 Minjin Choi , Jeonghyeon Shin , Gunho Lee , Eunok Bae

The quantum Schur transform maps the computational basis of a system of $n$ qudits onto a \textit{Schur basis}, which spans the minimal invariant subspaces of the representations of the unitary and the symmetric groups acting on the state…

Quantum Physics · Physics 2023-09-22 Enrique Cervero , Laura Mančinska

We consider the problem of secure packet routing at the maximum achievable rate in Quantum Key Distribution (QKD) networks. Assume that a QKD protocol generates symmetric private key pairs for secure communication over each link in a…

Networking and Internet Architecture · Computer Science 2022-05-30 Shahbaz Akhtar , Krishnakumar G , Vishnu B , Abhishek Sinha

Quantum teleportation is an essential capability for quantum networks, allowing the transmission of quantum bits (qubits) without a direct exchange of quantum information. Its implementation between distant parties requires teleportation of…

Quantum Physics · Physics 2023-04-10 Dario Lago-Rivera , Jelena V. Rakonjac , Samuele Grandi , Hugues de Riedmatten

We investigate the hardware requirements for quantum teleportation in an intercity-scale network topology consisting of two metropolitan-scale networks connected via a long-distance backbone link. Specifically, we identify the minimal…

Quantum Physics · Physics 2026-02-05 Soubhadra Maiti , Guus Avis , Sounak Kar , Stephanie Wehner

It is crucial to design quantum circuits as small as possible and as shallow as possible for quantum information processing tasks. We design quantum circuits with simplified gate-count, cost, and depth for implementing quantum teleportation…

Quantum Physics · Physics 2026-02-10 Wen-Xiu Zhang , Guo-Zhu Song , Hai-Rui Wei

Although quantum computing holds promise for solving Combinatorial Optimization Problems (COPs), the limited qubit capacity of NISQ hardware makes large-scale instances intractable. Conventional methods attempt to bridge this gap through…

Quantum Physics · Physics 2026-01-21 Yuhan Huang , Siyuan Jin , Yichi Zhang , Qi Zhao , Jun Qi , Qiming Shao