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As quantum computing hardware advances, the need for algorithms that facilitate the loading of classical data into the quantum states of these devices has become increasingly important. This study presents a method for producing scalable…

We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground…

强关联电子 · 物理学 2023-02-22 José Garre-Rubio , Laurens Lootens , András Molnár

In this paper, we introduce VeriQBench -- an open source benchmark for quantum circuits. It offers high-level quantum circuit abstractions of various circuit types, including 1) combinational, 2) dynamic, 3) sequential, and 4) variational…

量子物理 · 物理学 2022-06-23 Kean Chen , Wang Fang , Ji Guan , Xin Hong , Mingyu Huang , Junyi Liu , Qisheng Wang , Mingsheng Ying

Matrix product states, a key ingredient of numerical algorithms widely employed in the simulation of quantum spin chains, provide an intriguing tool for quantum phase transition engineering. At critical values of the control parameters on…

统计力学 · 物理学 2009-11-11 M. Cozzini , R. Ionicioiu , P. Zanardi

In Ref. [Phys. Rev. A 100, 062317 (2019)], the authors reported an algorithm to implement, in a circuit-based quantum computer, a general quantum measurement (GQM) of a two-level quantum system, a qubit. Even though their algorithm seems…

量子物理 · 物理学 2023-02-10 Douglas F. Pinto , Marcelo S. Zanetti , Marcos L. W. Basso , Jonas Maziero

Quantum computers use the quantum interference of different computational paths to enhance correct outcomes and suppress erroneous outcomes of computations. A common pattern underpinning quantum algorithms can be identified when quantum…

量子物理 · 物理学 2009-10-30 Richard Cleve , Artur Ekert , Chiara Macchiavello , Michele Mosca

Error correcting codes use multi-qubit measurements to realize fault-tolerant quantum logic steps. In fact, the resources needed to scale-up fault-tolerant quantum computing hardware are largely set by this task. Tailoring next-generation…

Parametrized quantum optical circuits are a class of quantum circuits in which the carriers of quantum information are photons and the gates are optical transformations. Classically optimizing these circuits is challenging due to the…

量子物理 · 物理学 2020-12-02 Filippo M. Miatto , Nicolás Quesada

Parallel computation enables multiple processors to execute different parts of a task simultaneously, improving processing speed and efficiency. In quantum computing, parallel gate implementation involves executing gates independently in…

量子物理 · 物理学 2024-11-20 Boris Arseniev

Quantum logic gates must perform properly when operating on their standard input basis states, as well as when operating on complex superpositions of these states. Experiments using superconducting qubits have validated the truth table for…

We extend the recently introduced notion of tensor enumerator to the circuit enumerator. We provide a mathematical framework that offers a novel method for analyzing circuits and error models without resorting to Monte Carlo techniques. We…

量子物理 · 物理学 2024-05-31 Alon Kukliansky , Brad Lackey

Wiring diagrams are given for a quantum algorithm processor in CMOS to compute, in parallel, all divisors of an n-bit integer. Lines required in a wiring diagram are proportional to n. Execution time is proportional to the square of n.

硬件体系结构 · 计算机科学 2007-05-23 John Robert Burger

Quantum process tomography of each directly implementable quantum gate used in the IBM quantum processors is performed to compute gate error in order to check viability of complex quantum operations in the superconductivity-based quantum…

量子物理 · 物理学 2022-06-07 Abhishek Shukla , Mitali Sisodia , Anirban Pathak

Recently much attention has been paid to quantum circuit design to prepare for the future "quantum computation era." Like the conventional logic synthesis, it should be important to verify and analyze the functionalities of generated…

量子物理 · 物理学 2015-05-13 Shigeru Yamashita , Shin-ichi Minato , D. Michael Miller

Native multi-qubit parity gates have various potential quantum computing applications, such as entanglement creation, logical state encoding and parity measurement in quantum error correction. Here, using simultaneous cross-resonance drives…

量子物理 · 物理学 2023-10-06 Toshinari Itoko , Moein Malekakhlagh , Naoki Kanazawa , Maika Takita

Quantum circuit synthesis and compilation are critical components in the quantum computing stack, both for contemporary quantum systems, where efficient use of limited resources is essential, as well as for large-scale fault-tolerant…

量子物理 · 物理学 2025-10-21 Jonathan Nemirovsky , Maya Chuchem , Lee Peleg , Yakov Solomons , Amit Ben Kish , Yotam Shapira

A quantum processor is a programmable quantum circuit in which both the data and the program, which specifies the operation that is carried out on the data, are quantum states. We study the situation in which we want to use such a processor…

量子物理 · 物理学 2009-11-11 Mark Hillery , Mario Ziman , Vladimir Buzek

A key requirement for scalable quantum computing is that elementary quantum gates can be implemented with sufficiently low error. One method for determining the error behavior of a gate implementation is to perform process tomography.…

Mapping quantum error correcting codes to classical disordered statistical mechanics models and studying the phase diagram of the latter has proven a powerful tool to study the fundamental error robustness and associated critical error…

量子物理 · 物理学 2022-01-12 Davide Vodola , Manuel Rispler , Seyong Kim , Markus Müller

In recent years, interest in expressing the success of neural networks to the quantum computing has increased significantly. Tensor network theory has become increasingly popular and widely used to simulate strongly entangled correlated…

量子物理 · 物理学 2019-05-07 Amandeep Singh Bhatia , Mandeep Kaur Saggi , Ajay Kumar , Sushma Jain
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