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We develop dynamical non-Markovian description of quantum computing in weak coupling limit, in lowest order approximation. We show that long range memory of quantum reservoir produces strong interrelation between structure of noise and…

Quantum Physics · Physics 2009-11-07 Robert Alicki , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Quantum computation by non-Abelian Majorana zero modes (MZMs) offers an approach to achieve fault tolerance by encoding quantum information in the non-local charge parity states of semiconductor nanowire networks in the topological…

We investigate the decoherence patterns of topological qubits in contact with the environment by a novel way of deriving the open system dynamics other than the Feynman-Vernon. Each topological qubit is made of two Majorana modes of a 1D…

Strongly Correlated Electrons · Physics 2015-06-22 Shih-Hao Ho , Sung-Po Chao , Chung-Hsien Chou , Feng-Li Lin

Quantum metrology promises precision beyond classical limits, yet environmental noise typically degrades the quantum resources required for such enhancement. In this work, we investigate frequency estimation in noisy continuous-variable…

Quantum Physics · Physics 2026-05-08 Ayan Patra , Manju , Aditi Sen De , Matteo G. A. Paris

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Localized Majorana fermions emerge in many topologically ordered systems and exhibit exchange statistics of Ising anyons. This enables noise-resistant implementation of a limited set of operations by braiding and fusing Majorana fermions.…

Quantum Physics · Physics 2014-07-21 Earl T. Campbell , Matty J. Hoban , Jens Eisert

We summarize the key ingredients required for universal topological quantum computation using Majorana zero modes in networks of topological superconductor nanowires. Particular emphasis is placed on the use of both sparse and dense logical…

Quantum Physics · Physics 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

We investigate the dynamics of quantum correlations (QC) under the effects of reservoir memory, as a resource for quantum information and computation tasks. Quantum correlations of two-qubit systems are used for implementing quantum…

Quantum Physics · Physics 2022-02-17 K. G Paulson , Ekta Panwar , Subhashish Banerjee , R. Srikanth

We study time-resolved charge transport in a superconducting nanowire using time-dependent Landauer-B{\"u}ttiker theory. We find that the steady-state Majorana zero-bias conductance peak emerges transiently accompanied by characteristic…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Riku Tuovinen , Enrico Perfetto , Robert van Leeuwen , Gianluca Stefanucci , Michael A. Sentef

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Nonequilibrium states of a nanoscopic system may be achieved by both applying a bias voltage $V$ to its contacts and producing a difference $\Delta T$ in their temperatures. Then the total current results from two competing flows, induced…

Mesoscale and Nanoscale Physics · Physics 2019-12-13 Sergey Smirnov

When the environmental disturbace to a quantum system has a wavelength much larger than the system size, all qubits localized within a small area are under action of the same error operators. Noiseless subsystem and decoherence free…

Quantum Physics · Physics 2013-05-29 Chi-Kwong Li , Mikio Nakahara , Yiu-Tung Poon , Nung-Sing Sze , Hiroyuki Tomita

We study quantum entanglement in a system comprising two quantum dots interconnected through the short topological superconducting nanowire, which hosts overlapping boundary Majorana modes. Inspecting the fermionic negativity, we analyze…

Quantum Physics · Physics 2026-03-05 C. Jasiukiewicz , A. Sinner , I. Weymann , T. Domański , L. Chotorlishvili

Nanodevices exploiting quantum effects are critically important elements of future quantum technologies (QT), but their real-world performance is strongly limited by decoherence arising from local `environmental' interactions. Compounding…

Biological Physics · Physics 2024-04-10 Thibaut Lacroix , Brendon W. Lovett , Alex W. Chin

Semiconducting nanowires in proximity to superconductors are among promising candidates to search for Majorana fermions and topologically protected degeneracies which may ultimately be used as building blocks for topological quantum…

Superconductivity · Physics 2011-10-10 Jay D. Sau , B. I. Halperin , K. Flensberg , S. Das Sarma

Over the last decade, there have been considerable efforts to observe non-abelian quasi-particles in novel quantum materials and devices. These efforts are motivated by the goals of demonstrating quantum statistics of quasi-particles beyond…

Superconductivity · Physics 2023-06-26 Ali Yazdani , Felix von Oppen , Bertrand I. Halperin , Amir Yacoby

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

Quantum Physics · Physics 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An

We study the decoherence of Majorana modes of a fermion chain, where the fermions interact with their nearest neighbours. We investigate the effect of dissipation and dephasing on the Majorana modes of a fermionic chain. The dissipative and…

Quantum Physics · Physics 2015-08-03 H. T. Ng

We study the information transmission capacities of quantum Markov semigroups $(\Psi^t)_{t\in \mathbb{N}}$ acting on $d-$dimensional quantum systems. We show that, in the limit of $t\to \infty$, the capacities can be efficiently computed in…

Quantum Physics · Physics 2026-04-22 Satvik Singh , Nilanjana Datta

Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of Majorana qubits can be drastically…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 John P. T. Stenger , Roger S. K. Mong