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Majorana-based quantum computing seeks to use the non-local nature of Majorana zero modes to store and manipulate quantum information in a topologically protected way. While noise is anticipated to be significantly suppressed in such…

量子物理 · 物理学 2018-09-11 Christina Knapp , Michael Beverland , Dmitry I. Pikulin , Torsten Karzig

Quasiparticle poisoning has remained one of the main challenges in the implementation of Majorana-based quantum computing. It inevitably occurs when the system hosting Majorana qubits is not completely isolated from its surrounding, thus…

量子物理 · 物理学 2020-08-07 Raditya Weda Bomantara , Jiangbin Gong

The surface code is a prominent topological error-correcting code exhibiting high fault-tolerance accuracy thresholds. Conventional schemes for error correction with the surface code place qubits on a planar grid and assume native CNOT…

量子物理 · 物理学 2020-10-28 Rui Chao , Michael E. Beverland , Nicolas Delfosse , Jeongwan Haah

We study the error correcting properties of Majorana Surface Codes (MSC), topological quantum codes constructed out of interacting Majorana fermions, which can be used to store quantum information and perform quantum computation. These…

量子物理 · 物理学 2019-05-14 Oscar Viyuela , Sagar Vijay , Liang Fu

Contemporary quantum devices are reaching new limits in size and complexity, allowing for the experimental exploration of emergent quantum modes. However, this increased complexity introduces significant challenges in device tuning and…

Qubits based on Majorana zero modes are a promising path towards topological quantum computing. Such qubits, though, are susceptible to quasiparticle poisoning which does not have to be small by topological argument. We study the main…

介观与纳米尺度物理 · 物理学 2021-02-10 Torsten Karzig , William S. Cole , Dmitry I. Pikulin

We introduce error-correcting codes that can correct for fermion parity-violating (quasiparticle poisoning) and parity-conserving errors in systems of complex fermions and of Majorana fermions. After establishing properties of fermion…

介观与纳米尺度物理 · 物理学 2017-03-03 Sagar Vijay , Liang Fu

Erasures, or errors with known locations, are a more favorable type of error for quantum error-correcting codes than Pauli errors. Converting physical noise into erasures can significantly improve the performance of quantum error…

量子物理 · 物理学 2023-07-03 Mingyu Kang , Wesley C. Campbell , Kenneth R. Brown

We consider the problem of quasiparticle poisoning in a nanowire-based realization of a Majorana qubit, where a spin-orbit-coupled semiconducting wire is placed on top of a (bulk) superconductor. By making use of recent experimental data…

介观与纳米尺度物理 · 物理学 2012-06-01 Diego Rainis , Daniel Loss

Programmable optical tweezer arrays of molecules are an emerging platform for quantum simulation and quantum information science. For these applications, reducing and mitigating errors that arise during initial state preparation and…

量子物理 · 物理学 2024-06-05 Connor M. Holland , Yukai Lu , Samuel J. Li , Callum L. Welsh , Lawrence W. Cheuk

Recently, a lot of effort has been devoted towards designing erasure qubits in which dominant physical noise excites leakage states whose population can be detected and returned to the qubit subspace. Interest in these erasure qubits has…

量子物理 · 物理学 2024-08-05 Kathleen Chang , Shraddha Singh , Jahan Claes , Kaavya Sahay , James Teoh , Shruti Puri

Quantum bits based on Majorana zero modes are expected to be robust against certain noise types, and hence provide a quantum computing platform that is superior to conventional qubits. This robustness is not complete though: imperfections…

介观与纳米尺度物理 · 物理学 2022-01-26 Péter Boross , András Pályi

In the presence of qubit losses, the building blocks of fault-tolerant error correction (FTEC) must be revisited. Existing loss-tolerant approaches are mainly architecture-specific, and little attention has been given to optimizing the…

量子物理 · 物理学 2026-03-19 Yuanjia Wang , Todd A. Brun

We present a new type of a quantum error correction code, termed Majorana-XYZ code, where the logical quantum information scales macroscopically yet is protected by topologically non-trivial degrees of freedom. It is a $[n,k,g,d]$ subsystem…

量子物理 · 物理学 2026-03-30 Tobias Busse , Lauri Toikka

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

We propose a method of measuring the fermion parity lifetime of Majorana fermion modes due to quasiparticle poisoning. We model quasiparticle poisoning by coupling the Majorana modes to electron reservoirs, explicitly breaking parity…

介观与纳米尺度物理 · 物理学 2014-04-30 Jacob R. Colbert , Patrick A. Lee

As the building blocks of topological quantum computation, Majorana zero modes (MZMs) have attracted tremendous attention in recent years. Scalable mesoscopic island designs with MZMs show great potential in quantum information processing.…

介观与纳米尺度物理 · 物理学 2019-11-18 Guan-Hao Feng , Jingwei Chen , Hong-Hao Zhang

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

强关联电子 · 物理学 2016-02-24 David Nozadze , Nandini Trivedi

Executing quantum algorithms on error-corrected logical qubits is a critical step for scalable quantum computing, but the requisite numbers of qubits and physical error rates are demanding for current experimental hardware. Recently, the…

量子物理 · 物理学 2022-08-16 Yue Wu , Shimon Kolkowitz , Shruti Puri , Jeff D Thompson

Majorana zero modes have been attracting considerable attention because of their prospective applications in fault-tolerant topological quantum computing. In recent years, some schemes have been proposed to detect and manipulate Majorana…

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