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We discuss a protected quantum computation process based on a hexagon Josephson junction array. Qubits are encoded in the punctured array, which is topologically protected. The degeneracy is related to the number of holes. The topological…

Quantum Physics · Physics 2015-05-14 Zhi Yin , Sheng-Wen Li , Yi-Xin Chen

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

The technological development of hardware heading toward universal fault-tolerant quantum computation requires a large-scale processing unit with high performance. While fluxonium qubits are promising with high coherence and large…

Topological states of matter are a source of low-energy quasiparticles, bound to a defect or propagating along the surface. In a superconductor these are Majorana fermions, described by a real rather than a complex wave function. The…

Superconductivity · Physics 2016-07-01 C. W. J. Beenakker , L. P. Kouwenhoven

Cross-talk between qubits is one of the main challenges for scaling superconducting quantum processors. Here, we use the density-matrix renormalization-group to numerically analyze lattices of superconducting qubits from a perspective of…

Quantum Physics · Physics 2025-12-08 F. Lange , L. Heunisch , H. Fehske , D. P. DiVincenzo , M. J. Hartmann

Conventional Quantum Flux Parametrons (QFPs) have historically been used for storing classical bits in Josephson junction-based computers. In this work, we propose a novel QFP-based topology dubbed "Degenerium" qubit, to process and compute…

Superconductivity · Physics 2025-05-13 Kian Rafati Sajedi , Mojtaba Hosseinpour Choubi , Mehdi Fardmanesh

Quantum computing promises significant speed-up for certain types of computational problems. However, robust implementations of semiconducting qubits must overcome the effects of charge noise that currently limit coherence during gate…

Quantum Physics · Physics 2017-07-12 Mark Friesen , Joydip Ghosh , M. A. Eriksson , S. N. Coppersmith

The topological surface code is a leading candidate for harnessing long-range entanglement to protect logical quantum information against errors, and teleportation of logical states is desirable for robust quantum information processing.…

We propose a mechanism to interface a transmission line resonator (TLR) with a nano-mechanical resonator (NAMR) by commonly coupling them to a charge qubit, a Cooper pair box with a controllable gate voltage. Integrated in this quantum…

Quantum Physics · Physics 2015-06-26 C. P. Sun , L. F. Wei , Yu-xi Liu , Franco Nori

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

Semiconductor qubits rely on the control of charge and spin degrees of freedom of electrons or holes confined in quantum dots (QDs). They constitute a promising approach to quantum information processing [1, 2], complementary to…

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

Superconducting protected qubits aim to achieve sufficiently low error rates so as to allow realization of error-corrected, utility-scale quantum computers. A recent proposal encodes a protected qubit in the quasicharge degree of freedom of…

Quantum Physics · Physics 2026-01-09 Nicholas M. Christopher , Deniz E. Stiegemann , Abhijeet Alase , Thomas M. Stace

We study a recently demonstrated design for a high-performance tunable coupler suitable for superconducting Xmon and planar transmon qubits [Y. Chen et al., arXiv:1402.7367]. The coupler circuit uses a single flux-biased Josephson junction…

Quantum Physics · Physics 2015-09-17 Michael R. Geller , Emmanuel Donate , Yu Chen , Charles Neill , Pedram Roushan , John M. Martinis

We propose a theoretical scheme to realize the controllable non-Hermitian qubit-qubit coupling by adding a high-loss resonator in tunable coupling superconducting quantum circuit. By changing the effective qubit-qubit coupling, phase and…

Quantum Physics · Physics 2024-12-18 Hui Wang , Yan-Jun Zhao , Xun-Wei Xu

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

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…

Realizing the advantages of quantum computation requires access to the full Hilbert space of states of many quantum bits (qubits). Thus, large-scale quantum computation faces the challenge of efficiently generating entanglement between many…

We employ quantum optimal control theory to realize quantum gates for two protected superconducting circuits: the heavy-fluxonium qubit and the 0-$\pi$ qubit. Utilizing automatic differentiation facilitates the simultaneous inclusion of…

Spin qubits and superconducting qubits are among the promising candidates for a solid state quantum computer. For the implementation of a hybrid architecture which can profit from the advantages of either world, a coherent long-distance…