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We study a quantum small-world network with disorder and show that the system exhibits a delocalization transition. A quantum algorithm is built up which simulates the evolution operator of the model in a polynomial number of gates for…

量子物理 · 物理学 2016-09-08 O. Giraud , B. Georgeot , D. L. Shepelyansky

The prevalent approach to executing quantum algorithms on quantum computers is to break-down the algorithms to a concatenation of universal gates, typically single and two-qubit gates. However such a decomposition results in long gate…

量子物理 · 物理学 2020-03-25 Yotam Shapira , Ravid Shaniv , Tom Manovitz , Nitzan Akerman , Lee Peleg , Lior Gazit , Roee Ozeri , Ady Stern

Quantum teleportation allows to transfer unknown quantum states between distant parties. It is not only a primitive of quantum communications but also an essential task in realization of the quantum networks for promising applications such…

量子物理 · 物理学 2020-02-19 Sang Min Lee , Seung-Woo Lee , Hyunseok Jeong , Hee Su Park

Distributed quantum computation is often proposed to increase the scalability of quantum hardware, as it reduces cooperative noise and requisite connectivity by sharing quantum information between distant quantum devices. However, such…

量子物理 · 物理学 2023-09-13 Abigail McClain Gomez , Taylor L. Patti , Anima Anandkumar , Susanne F. Yelin

Running quantum algorithms often involves implementing complex quantum circuits with such a large number of multi-qubit gates that the challenge of tackling practical applications appears daunting. To date, no experiments have successfully…

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…

量子物理 · 物理学 2025-02-25 Jaime S. Buruaga , Ruben B. Méndez , Juan P. Brito , Vicente Martin

When scaling up quantum processors in a cryogenic environment, it is desirable to limit the number of qubit drive lines going into the cryostat, since fewer lines makes cooling of the system more manageable and the need for complicated…

量子物理 · 物理学 2026-04-15 Marvin Richter , Ingrid Strandberg , Simone Gasparinetti , Anton Frisk Kockum

Distributed quantum computation is a practical method for large-scale quantum computation on quantum processors with limited size. It can be realized by direct quantum channels in flying qubits. Moreover, the pre-established quantum…

量子物理 · 物理学 2024-09-05 Tian-Ren Jin , Kai Xu , Heng Fan

As the effort to scale up existing quantum hardware proceeds, it becomes necessary to schedule quantum gates in a way that minimizes the number of operations. There are three constraints that have to be satisfied: the order or dependency of…

量子物理 · 物理学 2018-08-28 Gian Giacomo Guerreschi , Jongsoo Park

Practical applications of quantum computers require millions of physical qubits and it will be challenging for individual quantum processors to reach such qubit numbers. It is therefore timely to investigate the resource requirements of…

量子物理 · 物理学 2021-11-19 Thomas Häner , Damian S. Steiger , Torsten Hoefler , Matthias Troyer

Quantum teleportation and quantum memory are two crucial elements for large-scale quantum networks. With the help of prior distributed entanglement as a "quantum channel", quantum teleportation provides an intriguing means to faithfully…

量子物理 · 物理学 2014-04-25 Xiao-Hui Bao , Xiao-Fan Xu , Che-Ming Li , Zhen-Sheng Yuan , Chao-Yang Lu , Jian-Wei Pan

Quantum computers hold the promise to solve certain computational task much more efficiently than classical computers. We review the recent experimental advancements towards a quantum computer with trapped ions. In particular, various…

量子物理 · 物理学 2008-11-20 H. Haeffner , C. F. Roos , R. Blatt

Shor's algorithm is one of the most prominent quantum algorithms, yet finding efficient implementations remains an active research challenge. While many approaches focus on low-level modular arithmetic optimizations, a broader perspective…

量子物理 · 物理学 2025-12-23 Moritz Schmidt , Abhoy Kole , Leon Wichette , Rolf Drechsler , Frank Kirchner , Elie Mounzer

We give precise quantum resource estimates for Shor's algorithm to compute discrete logarithms on elliptic curves over prime fields. The estimates are derived from a simulation of a Toffoli gate network for controlled elliptic curve point…

量子物理 · 物理学 2017-11-01 Martin Roetteler , Michael Naehrig , Krysta M. Svore , Kristin Lauter

Solving the discrete logarithm problem (DLP) with quantum computers is a fundamental task with important implications. Beyond Shor's algorithm, many researchers have proposed alternative solutions in recent years. However, due to current…

量子物理 · 物理学 2026-03-30 Renjie Xu , Daowen Qiu , Ligang Xiao , Le Luo , Xu Zhou

As quantum hardware increases in complexity, successful algorithmic execution relies more heavily on awareness of existing device constraints. In this work we focus on the problem of routing quantum information across the machine to…

量子物理 · 物理学 2019-12-03 Gian Giacomo Guerreschi

Quantum computers connected through classical and quantum communication channels can be combined to function as a single unit to run large quantum circuits that each device is unable to execute on their own. The distributed quantum…

量子物理 · 物理学 2026-02-04 Leo Sünkel , Michael Kölle , Tobias Rohe , Claudia Linnhoff-Popien

Optimized quantum control can enhance the performance and noise resilience of quantum metrology. However, the optimization quickly becomes intractable when multiple control operations are applied sequentially. In this work, we propose…

量子物理 · 物理学 2024-12-19 Qiushi Liu , Yuxiang Yang

We provide algorithms for efficiently addressing quantum memory in parallel. These imply that the standard circuit model can be simulated with low overhead by the more realistic model of a distributed quantum computer. As a result, the…

We discuss the realization of a universal set of ultrafast single- and two-qubit operations with superconducting quantum circuits and investigate the most relevant physical and technical limitations that arise when pushing for faster and…

量子物理 · 物理学 2021-07-20 Daoquan Zhu , Tuomas Jaako , Qiongyi He , Peter Rabl