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The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing. Due to engineering challenges, such ''cheap'' error correction may be decades away. In the meantime, we…

量子物理 · 物理学 2025-02-17 Rutuja Kshirsagar , Amara Katabarwa , Peter D. Johnson

In classical computational chemistry, the coupled-cluster ansatz is one of the most commonly used $ab~initio$ methods, which is critically limited by its non-unitary nature. The unitary modification as an ideal solution to the problem is,…

量子物理 · 物理学 2017-03-01 Yangchao Shen , Xiang Zhang , Shuaining Zhang , Jing-Ning Zhang , Man-Hong Yung , Kihwan Kim

With a combination of the quantum repeater and the cluster state approaches, we show that efficient quantum computation can be constructed even if all the entangling quantum gates only succeed with an arbitrarily small probability $p$. The…

量子物理 · 物理学 2009-11-11 L. -M. Duan , R. Raussendorf

We reveal a close relationship between quantum metrology and the Deutsch-Jozsa algorithm on continuous variable quantum systems. We develop a general procedure, characterized by two parameters, that unifies parameter estimation and the…

量子物理 · 物理学 2016-08-14 Marcin Zwierz , Carlos A. Pérez-Delgado , Pieter Kok

We analyse recently proposed physical implementations of a quantum computer based on polar molecules. A set of general requirements for a molecular system is presented, which would provide an optimal combination of quantum gate times,…

量子物理 · 物理学 2007-10-25 Elena Kuznetsova , Robin Côté , Kate Kirby , Susanne Yelin

Qubit loss and gate failure are significant problems for the development of scalable quantum computing. Recently various schemes have been proposed for tolerating qubit loss and gate failure. These include schemes based on cluster and…

量子物理 · 物理学 2007-05-23 Peter P. Rohde , Timothy C. Ralph , William J. Munro

We provide a generalization of quantum polar codes to quantum channels with qudit-input, achieving the symmetric coherent information of the channel. Our scheme relies on a channel combining and splitting construction, where a two-qudit…

量子物理 · 物理学 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

When the 4-state or the 6-state protocol of quantum cryptography is carried out on a noisy (i.e. realistic) quantum channel, then the raw key has to be processed to reduce the information of an adversary Eve down to an arbitrarily low…

量子物理 · 物理学 2009-01-23 N. Gisin , S. Wolf

Significant advances have been made in the study of quantum advantage both in theory and experiment, although these have mostly been limited to artificial setups. In this work, we extend the scope to address quantum advantage in tasks…

量子物理 · 物理学 2025-04-18 Ayoub Hafid , Hokuto Iwakiri , Kento Tsubouchi , Nobuyuki Yoshioka , Masaya Kohda

Due to physical orientations and birefringence effects, practical quantum information protocols utilizing optical polarization need to handle misalignment between preparation and measurement reference frames. For any such capable system, an…

量子物理 · 物理学 2021-01-13 Brendon L. Higgins , Jean-Philippe Bourgoin , Thomas Jennewein

We consider the number of quantum queries required to determine the coefficients of a degree-d polynomial over GF(q). A lower bound shown independently by Kane and Kutin and by Meyer and Pommersheim shows that d/2+1/2 quantum queries are…

量子物理 · 物理学 2016-09-08 Andrew M. Childs , Wim van Dam , Shih-Han Hung , Igor E. Shparlinski

We present a novel use case for quantum computation: the sensitivity analysis for a risk model used at Deutsche B\"orse Group. Such an analysis is computationally too expensive to perform on classical computers. We show in detail how the…

量子物理 · 物理学 2021-03-10 M. C. Braun , T. Decker , N. Hegemann , S. F. Kerstan , C. Schäfer

We show that the Variational Quantum-Classical Simulation algorithm admits a finite circuit depth scaling collapse when targeting the critical point of the transverse field Ising chain. The order parameter only collapses on one side of the…

量子物理 · 物理学 2022-01-05 Henrik Dreyer , Mircea Bejan , Etienne Granet

We provide a purely quantum version of polar codes, achieving the symmetric coherent information of any qubit-input quantum channel. Our scheme relies on a recursive channel combining and splitting construction, where a two-qubit gate…

量子物理 · 物理学 2021-05-04 Frédéric Dupuis , Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

量子物理 · 物理学 2019-02-11 Vlad Gheorghiu , Michele Mosca

We present, and analyze thoroughly, a highly symmetric and efficient scheme for the determination of a single-qubit state, such as the polarization properties of photons emitted by a single-photon source. In our scheme there are only four…

量子物理 · 物理学 2016-08-16 Jaroslav Řeháček , Berthold-Georg Englert , Dagomir Kaszlikowski

Pure quantum states are often approximately encoded as classical bit strings such as those representing probability amplitudes and those describing circuits that generate the quantum states. The crucial quantity is the minimum length of…

量子物理 · 物理学 2022-02-04 Seiseki Akibue , Go Kato , Seiichiro Tani

There are well known necessary and sufficient conditions for a quantum code to correct a set of errors. We study weaker conditions under which a quantum code may correct errors with probabilities that may be less than one. We work with…

量子物理 · 物理学 2007-05-23 Jesse Fern , John Terilla

The ability to distill quantum coherence is pivotal for optimizing the performance of quantum technologies; however, such a task cannot always be accomplished with certainty. Here we develop a general framework of probabilistic distillation…

量子物理 · 物理学 2018-08-22 Kun Fang , Xin Wang , Ludovico Lami , Bartosz Regula , Gerardo Adesso

Holevo, Schumacher, and Westmoreland's coding theorem guarantees the existence of codes that are capacity-achieving for the task of sending classical data over a channel with classical inputs and quantum outputs. Although they demonstrated…

量子物理 · 物理学 2013-01-21 Mark M. Wilde , Saikat Guha