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We investigate the usefulness of ground states of quantum spin chains with symmetry-protected topological order (SPTO) for measurement-based quantum computation. We show that, in spatial dimension one, if an SPTO phase supports quantum…

Quantum Physics · Physics 2017-07-12 Robert Raussendorf , Dongsheng Wang , Abhishodh Prakash , Tzu-Chieh Wei , David Stephen

Each year, the gap between theoretical proposals and experimental endeavours to create quantum computers gets smaller, driven by the promise of fundamentally faster algorithms and quantum simulations. This occurs by the combination of…

Quantum Physics · Physics 2016-04-20 Bobby Antonio

Implementing quantum algorithms on realistic hardware requires translating high-level global operations into sequences of native elementary gates, a process known as quantum compiling. Physical limitations, such as constraints in…

We make the case that variational algorithm ansatzes for near-term quantum computing are well-suited for the quantum circuit cutting strategy. Previous demonstrations of circuit cutting focused on the exponential execution and…

Quantum Physics · Physics 2024-12-25 Zirui Li , Minghao Guo , Mayank Barad , Wei Tang , Eddy Z. Zhang , Yipeng Huang

Quantum computing promises to revolutionize various fields, yet the execution of quantum programs necessitates an effective compilation process. This involves strategically mapping quantum circuits onto the physical qubits of a quantum…

Quantum Physics · Physics 2024-12-19 Tian Li , Xiao-Yue Xu , Chen Ding , Tian-Ci Tian , Wei-You Liao , Shuo Zhang , He-Liang Huang

Photonics offers unique advantages as a substrate for quantum information processing, but imposes fundamental scalability challenges. Nondeterministic schemes impose massive resource overheads, while deterministic schemes require…

Quantum Physics · Physics 2021-12-02 Ben Bartlett , Avik Dutt , Shanhui Fan

An economy of scale is found when storing many qubits in one highly entangled block of a topological quantum code. The code is defined by construction of a topologically convoluted 2-d surface and does not work by compressing redundancy in…

Quantum Physics · Physics 2007-05-23 Eric Dennis

Efficient communication between qubits relies on robust networks which allow for fast and coherent transfer of quantum information. It seems natural to harvest the remarkable properties of systems characterized by topological invariants to…

Quantum Physics · Physics 2017-11-23 Nicolai Lang , Hans Peter Büchler

Achieving scalable, fault-tolerant quantum computation requires quantum memory architectures that minimize error correction overhead while preserving coherence. This work presents a framework for high-dimensional qudit memory in…

Quantum Physics · Physics 2025-03-06 William Boone Samuels

The cost of data input can dominate the run-time of quantum algorithms. Here, we consider data input of arithmetically structured matrices via block encoding circuits, the input model for the quantum singular value transform and related…

Quantum Physics · Physics 2024-01-17 Christoph Sünderhauf , Earl Campbell , Joan Camps

This review presents an entry-level introduction to topological quantum computation -- quantum computing with anyons. We introduce anyons at the system-independent level of anyon models and discuss the key concepts of protected fusion…

Mesoscale and Nanoscale Physics · Physics 2017-09-14 Ville Lahtinen , Jiannis K. Pachos

We propose a quantum tomography scheme for pure qudit systems which adopts random base measurements and generative learning methods, along with a built-in fidelity estimation approach to assess the reliability of the tomographic states. We…

Quantum Physics · Physics 2020-03-25 Jun Wang , Zhao-Yu Han , Song-Bo Wang , Zeyang Li , Liang-Zhu Mu , Heng Fan , Lei Wang

In the ongoing effort towards a scalable quantum computer, multiple technologies have been proposed. Some of them exploit topological materials to process quantum information. In this work, we propose a lattice of photonic cavities with…

Quantum Physics · Physics 2025-02-14 Juan Zurita , Andrés Agustí Casado , Charles E. Creffield , Gloria Platero

Despite quantum computing's rapid development, current systems remain limited in practical applications due to their limited qubit count and quality. Various technologies, such as superconducting, trapped ions, and neutral atom quantum…

Quantum Physics · Physics 2024-05-08 Shuwen Kan , Zefan Du , Miguel Palma , Samuel A Stein , Chenxu Liu , Wenqi Wei , Juntao Chen , Ang Li , Ying Mao

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In…

Quantum Physics · Physics 2009-11-11 S. H. Simon , N. E. Bonesteel , M. H. Freedman , N. Petrovic , L. Hormozi

Circuit knitting emerges as a promising technique to overcome the limitation of the few physical qubits in near-term quantum hardware by cutting large quantum circuits into smaller subcircuits. Recent research in this area has been…

Hardware Architecture · Computer Science 2024-09-09 Xiangyu Ren , Mengyu Zhang , Antonio Barbalace

The idea of topological quantum computation (TQC) is to store and manipulate quantum information in an intrinsically fault-tolerant manner by utilizing the physics of topologically ordered phases of matter. Currently, one of the most…

Mesoscale and Nanoscale Physics · Physics 2015-09-25 Maissam Barkeshli , Jay D. Sau

We present a method for optimizing quantum circuits architecture. The method is based on the notion of "quantum comb", which describes a circuit board in which one can insert variable subcircuits. The method allows one to efficiently…

Quantum Physics · Physics 2008-09-08 Giulio Chiribella , Giacomo Mauro D'Ariano , Paolo Perinotti

We propose and analyze a physical system capable of performing topological quantum computation with Majorana zero modes (MZM) in a one-dimensional topological superconductor (1DTS). One of the leading methods to realize quantum gates in…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes