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Quantum computers are poised to radically outperform their classical counterparts by manipulating coherent quantum systems. A realistic quantum computer will experience errors due to the environment and imperfect control. When these errors…

量子物理 · 物理学 2016-11-21 Joel J. Wallman , Joseph Emerson

Physical implementation of scalable quantum architectures faces an immense challenge in form of fragile quantum states. To overcome it, quantum architectures with fault tolerance is desirable. This is achieved currently by using surface…

新兴技术 · 计算机科学 2019-12-25 Laxmidhar Biswal , Debjyoti Bhattacharjee , Anupam Chattopadhyay , Hafizur Rahaman

The ability to implement the Quantum Fourier Transform (QFT) efficiently on a quantum computer facilitates the advantages offered by a variety of fundamental quantum algorithms, such as those for integer factoring, computing discrete…

量子物理 · 物理学 2020-04-09 Yunseong Nam , Yuan Su , Dmitri Maslov

The Clifford hierarchy is a foundational concept for universal quantum computation (UQC). It was introduced to show that UQC can be realized via quantum teleportation, given access to certain standard resources. While the full structure of…

量子物理 · 物理学 2019-08-12 Narayanan Rengaswamy , Robert Calderbank , Henry D. Pfister

A clever choice and design of gate sets can reduce the depth of a quantum circuit, and can improve the quality of the solution one obtains from a quantum algorithm. This is especially important for near-term quantum computers that suffer…

量子物理 · 物理学 2025-07-08 Madhav Mohan , Julius de Hond , Servaas Kokkelmans

Quantum state preparation is a crucial process within numerous quantum algorithms, and the need for efficient initialization of quantum registers is ever increasing as demand for useful quantum computing grows. The problem arises as the…

量子物理 · 物理学 2024-09-11 Andrew Wright , Marco Lewis , Paolo Zuliani , Sadegh Soudjani

Randomness is a fundamental resource in quantum information, with crucial applications in cryptography, algorithms, and error correction. A central challenge is to construct unitary $k$-designs that closely approximate Haar-random unitaries…

量子物理 · 物理学 2025-10-10 Lennart Bittel , Lorenzo Leone

Quantum error correction is a cornerstone of reliable quantum computing, with surface codes emerging as a prominent method for protecting quantum information. Surface codes are efficient for Clifford gates but require magic state…

量子物理 · 物理学 2025-03-13 Avimita Chatterjee , Archisman Ghosh , Swaroop Ghosh

We present an architecture for early fault-tolerant quantum computers based on the smallest interesting colour code (Earl Campbell, 2016). It realizes a universal logical gate set consisting of single-qubit measurements and preparations in…

量子物理 · 物理学 2025-07-29 Jacob S. Nelson , Andrew J. Landahl , Andrew D. Baczewski

Tremendous efforts have been paid for realization of fault-tolerant quantum computation so far. However, preexisting fault-tolerant schemes assume that a lot of qubits live together in a single quantum system, which is incompatible with…

量子物理 · 物理学 2012-03-01 Keisuke Fujii , Takashi Yamamoto , Masato Koashi , Nobuyuki Imoto

Topological quantum computing promises intrinsic fault tolerance by encoding quantum information in non-Abelian anyons, where quantum gates are implemented via braiding. While braiding operations are robust against local perturbations, a…

量子物理 · 物理学 2025-08-15 Themba Hodge , Philipp Frey , Stephan Rachel

Recent advancements in neutral atom platforms have enabled exploration of early fault-tolerant (FT) architectures for applications with quantum advantage, such as quantum dynamics simulations. An efficient fault-tolerant architecture has…

Transversal gates are the ideal gates in a fault-tolerant scenario; relatively easy to implement, and minimally error propagating. Their availability will maximise fault tolerant thresholds, enabling universal quantum computation in a wider…

量子物理 · 物理学 2025-06-23 Heather Leitch , Alastair Kay

As experimental platforms for quantum information processing continue to mature, characterization of the quality of unitary gates that can be applied to their quantum bits (qubits) becomes essential. Eventually, the quality must be…

One of the largest obstacles to building a quantum computer is gate error, where the physical evolution of the state of a qubit or group of qubits during a gate operation does not match the intended unitary transformation. Gate error stems…

量子物理 · 物理学 2018-02-07 Eliot Kapit

We consider the possibility of adding noise to a quantum circuit to make it efficiently simulatable classically. In previous works this approach has been used to derive upper bounds to fault tolerance thresholds - usually by identifying a…

量子物理 · 物理学 2010-03-12 M. B. Plenio , S. Virmani

Motivated by the prospect of a two-dimensional square-lattice geometry for semiconductor spin qubits, we explore the realization of the Parity Architecture with quantum dots (QDs). We present sequences of spin shuttling and quantum gates…

When visualised as an operation on the Bloch sphere, the qubit "pi-over-eight" gate corresponds to one-eighth of a complete rotation about the vertical axis. This simple gate often plays an important role in quantum information theory,…

量子物理 · 物理学 2012-08-17 Mark Howard , Jiri Vala

Magic state distillation is a resource intensive subroutine that consumes noisy input states to produce high-fidelity resource states that are used to perform logical operations in practical quantum-computing architectures. The resource…

量子物理 · 物理学 2022-05-17 Shraddha Singh , Andrew S. Darmawan , Benjamin J. Brown , Shruti Puri

We introduce a family of scalable planar fault-tolerant circuits that implement logical non-Clifford operations on a 2D color code, such as a logical $T$ gate or a logical non-Pauli measurement that prepares a magic $|T\rangle$ state. The…

量子物理 · 物理学 2025-05-09 Andreas Bauer , Julio C. Magdalena de la Fuente