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Quantum Error Correction (QEC) is the cornerstone of practical Fault-Tolerant Quantum Computing (FTQC), but incurs enormous resource overheads. Circuits must decompose into Clifford+T gates, and the non-transversal T gates demand costly…

Quantum Physics · Physics 2025-07-15 Archisman Ghosh , Avimita Chatterjee , Swaroop Ghosh

Quantum algorithms to solve practical problems in quantum chemistry, materials science, and matrix inversion often involve a significant amount of arithmetic operations which act on a superposition of inputs. These have to be compiled to a…

Quantum Physics · Physics 2018-07-06 Thomas Häner , Mathias Soeken , Martin Roetteler , Krysta M. Svore

We present a novel and efficient in terms of circuit depth design for Shor's quantum factorization algorithm. The circuit effectively utilizes a diverse set of adders based on the quantum Fourier transform (QFT) Draper's adders to build…

Quantum Physics · Physics 2013-11-05 Archimedes Pavlidis , Dimitris Gizopoulos

Recently, the development of quantum chips has made great progress-- the number of qubits is increasing and the fidelity is getting higher. However, qubits of these chips are not always fully connected, which sets additional barriers for…

Emerging Technologies · Computer Science 2018-07-06 Xin Zhang , Hong Xiang , Tao Xiang , Li Fu , Jun Sang

Transversal gates are logical gate operations on encoded quantum information that are efficient in gate count and depth, and are designed to minimize error propagation. Efficient encoding circuits for quantum codes that admit transversal…

Quantum Physics · Physics 2024-05-24 Praveen Jayakumar , Priya J. Nadkarni , Shayan Srinivasa Garani

We propose a scheme for the implementation of quantum gates which is based on the qubit encoding in antiferromagnetic molecular rings. We show that a proper engineering of the intercluster link would result in an effective coupling that…

Other Condensed Matter · Physics 2009-11-10 F. Troiani , M. Affronte , S. Carretta , P. Santini , G. Amoretti

We show a pulse-efficient circuit transpilation framework for noisy quantum hardware. This is achieved by scaling cross-resonance pulses and exposing each pulse as a gate to remove redundant single-qubit operations with the…

Quantum Physics · Physics 2022-03-08 Nathan Earnest , Caroline Tornow , Daniel J. Egger

We report the first quantum bit device implemented on a foundry-compatible Si CMOS platform. The device, fabricated using SOI NanoWire MOSFET technology, is in essence a compact two-gate pFET. The qubit is encoded in the spin degree of…

Mesoscale and Nanoscale Physics · Physics 2019-12-23 L. Hutin , R. Maurand , D. Kotekar-Patil , A. Corna , H. Bohuslavskyi , X. Jehl , S. Barraud , S. De Franceschi , M. Sanquer , M. Vinet

The multisilce method is an important algorithm for electron diffraction and image simulations in transmission electron microscopy. We have proposed a quantum algorithm of the multislice method based on quantum circuit model previously. In…

Quantum Physics · Physics 2025-03-06 Y. C. Wang , Y. Sun , Z. J. Ding

Recent advances in quantum error correction (QEC) codes for fault-tolerant quantum computing \cite{Terhal2015} and physical realizations of high-fidelity qubits in a broad range of platforms \cite{Kok2007, Brown2011, Barends2014,…

Mesoscale and Nanoscale Physics · Physics 2018-01-18 M. Veldhorst , H. G. J. Eenink , C. H. Yang , A. S. Dzurak

Quantum Layout Synthesis (QLS) maps a logical quantum circuit to a physical quantum platform. Optimal QLS minimizes circuit size and depth, which is essential to reduce the noise on current quantum platforms. Optimal QLS is an NP-hard…

Quantum Physics · Physics 2025-07-18 Kostiantyn V. Milkevych , Jaco van de Pol , Irfansha Shaik

Traditional algorithms for simulating quantum computers on classical ones require an exponentially large amount of memory, and so typically cannot simulate general quantum circuits with more than about 30 or so qubits on a typical PC-scale…

Quantum sensing is an important application of emerging quantum technologies. We explore whether a hybrid system of quantum sensors and quantum circuits can surpass the classical limit of sensing. In particular, we use optimization…

Creation of quantum computer is outstanding fundamental and practical problem. The quantum computer could be used for execution of very complicated tasks which are not solvable with the classical computers. The first prototype of solid…

Quantum Physics · Physics 2011-03-17 Sergey N. Andrianov , Sergey A. Moiseev

We introduce a versatile method for preparing a quantum state whose amplitudes are given by some known function. Unlike existing approaches, our method does not require handcrafted reversible arithmetic circuits, or quantum table reads, to…

Quantum Physics · Physics 2025-07-10 Sam McArdle , András Gilyén , Mario Berta

Quantum computation is traditionally expressed in terms of quantum bits, or qubits. In this work, we instead consider three-level qu$trits$. Past work with qutrits has demonstrated only constant factor improvements, owing to the $\log_2(3)$…

We use a random search technique to find quantum gate sequences that implement perfect quantum state preparation or unitary operator synthesis with arbitrary targets. This approach is based on the recent discovery that there is a large…

Quantum Physics · Physics 2024-10-25 Sahel Ashhab , Fumiki Yoshihara , Miwako Tsuji , Mitsuhisa Sato , Kouichi Semba

A limited number of qubits, high error rates, and limited qubit connectivity are major challenges for effective near-term quantum computations. Quantum circuit partitioning divides a quantum computation into a set of computations that…

Quantum Physics · Physics 2023-08-21 Sebastian Brandhofer , Ilia Polian , Kevin Krsulich

Quantum circuits are time dependent diagrams describing the process of quantum computation. Usually, a quantum algorithm must be mapped into a quantum circuit. Optimal synthesis of quantum circuits is intractable and heuristic methods must…

Quantum Physics · Physics 2008-02-27 D. Maslov , G. W. Dueck , D. M. Miller , C. Negrevergne

The Quantum Fourier Transformation (QFT) is a well-known subroutine for algorithms on qubit-based universal quantum computers. In this work, the known QFT circuit is used to derive an efficient circuit for the multidimensional QFT. The…

Quantum Physics · Physics 2023-02-01 Philipp Pfeffer
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