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Related papers: Universal qudit gate synthesis for transmons

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Physical quantum systems are commonly composed of more than two levels and offer the capacity to encode information in higher-dimensional spaces beyond the qubit, starting with the three-level qutrit. Here, we encode neutral-atom qutrits in…

Quantum Physics · Physics 2023-12-01 Joseph Lindon , Arina Tashchilina , Logan W. Cooke , Lindsay J. LeBlanc

With recent improvements in coherence times, superconducting transmon qubits have become a promising platform for quantum computing. They can be flexibly engineered over a wide range of parameters, but also require us to identify an…

Quantum Physics · Physics 2017-09-21 Michael H. Goerz , Felix Motzoi , K. Birgitta Whaley , Christiane P. Koch

In recent years qubit designs such as transmons approached the fidelities of up to 0.999. However, even these devices are still insufficient for realizing quantum error correction requiring better than 0.9999 fidelity. Topologically…

Quantum Physics · Physics 2021-10-13 Andrey R. Klots , Lev B. Ioffe

Based on a microwave-photon quantum processor with two superconducting resonators coupled to one transmon qutrit, we construct the controlled-phase (c-phase) gate on microwave-photon-resonator qudits, by combination of the…

Quantum Physics · Physics 2014-08-04 Ming Hua , Ming-Jie Tao , Fu-Guo Deng

High-fidelity logical \emph{T}-gate realization constitutes a core prerequisite for large-scale fault-tolerant quantum computing. However, conventional magic state distillation requires massive physical qubit overhead across successive…

Quantum Physics · Physics 2026-05-04 Cheng-Yun Ding , Li-Hua Zhang , Jian Zhou

Qubits, which are quantum counterparts of classical bits, are used as basic information units for quantum information processing, whereas underlying physical information carriers, e.g. (artificial) atoms or ions, admit encoding of more…

Quantum Physics · Physics 2023-02-28 Anastasiia S. Nikolaeva , Evgeniy O. Kiktenko , Aleksey K. Fedorov

The key to realizing fault-tolerant quantum computation for singlet-triplet (ST) qubits in semiconductor double quantum dot (DQD) is to operate both the single- and two-qubit gates with high fidelity. The feasible way includes operating the…

Quantum Physics · Physics 2021-06-28 Wen-Xin Xie , Chengxian Zhang , Zheng-Yuan Xue

We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative…

Quantum Physics · Physics 2019-12-18 Jérémie Guillaud , Mazyar Mirrahimi

A long-standing open problem in fault-tolerant quantum computation has been to find a universal set of transversal gates. As three of us proved in arXiv: 0706.1382, such a set does not exist for binary stabilizer codes. Here we generalize…

Quantum Physics · Physics 2011-03-18 Xie Chen , Hyeyoun Chung , Andrew W. Cross , Bei Zeng , Isaac L. Chuang

A novel universal and fault-tolerant basis (set of gates) for quantum computation is described. Such a set is necessary to perform quantum computation in a realistic noisy environment. The new basis consists of two single-qubit gates…

Quantum Physics · Physics 2007-05-23 P. Oscar Boykin , Tal Mor , Matthew Pulver , Vwani Roychowdhury , Farrokh Vatan

Quantum devices comprised of elementary components with more than two stable levels - so-called qudits - enrich the accessible Hilbert space, enabling applications ranging from fault-tolerant quantum computing to simulating complex…

Quantum Physics · Physics 2026-01-21 Amir Burshtein , Shachar Fraenkel , Moshe Goldstein , Ran Finkelstein

We introduce simple qubit-encodings and logic gates which eliminate the need for certain difficult single-qubit operations in superconducting phase-qubits, while preserving universality. The simplest encoding uses two physical qubits per…

Superconductivity · Physics 2016-08-31 Daniel A. Lidar , Lian-Ao Wu , Alexandre Blais

Geometric phases are well known to be noise-resilient in quantum evolutions/operations. Holonomic quantum gates provide us with a robust way towards universal quantum computation, as these quantum gates are actually induced by nonabelian…

Quantum Physics · Physics 2018-05-11 Zhuo-Ping Hong , Bao-Jie Liu , Jia-Qi Cai , Xin-Ding Zhang , Yong Hu , Z. D. Wang , Zheng-Yuan Xue

A universal quantum computing scheme, with a universal set of logical gates, is proposed based on networks of 1D quantum systems. The encoding of information is in terms of universal features of gapped phases, for which effective field…

Quantum Physics · Physics 2019-07-24 Dong-Sheng Wang

Fault-tolerant quantum computing (FTQC) is essential for achieving large-scale practical quantum computation. Implementing arbitrary FTQC requires the execution of a universal gate set on logical qubits, which is highly challenging.…

Superconducting qubits are a promising candidate for building a quantum computer. A continued challenge for fast yet accurate gates to minimize the effects of decoherence. Here we apply numerical methods to design fast entangling gates,…

Quantum Physics · Physics 2015-06-16 D. J. Egger , F. K. Wilhelm

The development of quantum circuits based on hybrid superconductor-semiconductor Josephson junctions holds promise for exploring their mesoscopic physics and for building novel superconducting devices. The gate-tunable superconducting…

To utilize higher-dimensional quantum systems, in this Letter, we derive a generalized cross-resonance (GCR) scheme for realizing maximally entangling two-qutrit gates on fixed-frequency transmons beyond the 0-1 subspace. Our two-qutrit…

Quantum Physics · Physics 2026-01-13 Yash Saxena , Tharrmashastha Sapv , Sagnik Chatterjee , Ray-Kuang Lee

We exploit hyperfine interactions in a single Mn-ion confined in a quantum dot (QD) to create a qudit, i.e. a multi-level quantum-bit system, with well defined, addressable and robust set of spin states for the realization of universal…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Fabrizio Moro , Alistair J. Fielding , Lyudmila Turyanska , Amalia Patanè

Medium-scale quantum devices that integrate about hundreds of physical qubits are likely to be developed in the near future. However, such devices will lack the resources for realizing quantum fault tolerance. Therefore, the main challenge…

Quantum Physics · Physics 2021-12-24 Chao Song , Jing Cui , H. Wang , J. Hao , H. Feng , Ying Li
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