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Reliable quantum information processing in the face of errors is a major fundamental and technological challenge. Quantum error correction protects quantum states by encoding a logical quantum bit (qubit) in multiple physical qubits. To be…

We introduce a new framework for constructing topological quantum memories, by recasting error recovery as a dynamical process on a field generating cellular automaton. We envisage quantum systems controlled by a classical hardware composed…

Quantum Physics · Physics 2015-10-28 Michael Herold , Earl T. Campbell , Jens Eisert , Michael J. Kastoryano

Quantum memory is a key element for quantum repeaters and linear optical quantum computers. In addition to memory, repeaters and computers also require manipulating quantum states by means of unitary transformations, which is generally…

Quantum Physics · Physics 2009-10-15 A. Delfan Abazari , E. Saglamyurek , R. Ricken , W. Sohler , C. La Mela , W. Tittel

We study the effect of electrostatic disorder on the conductivity of a three-dimensional antiferromagnetic insulator (a stack of quantum anomalous Hall layers with staggered magnetization). The phase diagram contains regions where the…

Mesoscale and Nanoscale Physics · Physics 2014-01-13 P. Baireuther , J. M. Edge , I. C. Fulga , C. W. J. Beenakker , J. Tworzydło

We investigate, by means of a field-theory analysis combined with the density-matrix renormalization group (DMRG) method, a theoretical model for a strongly correlated quantum system in one dimension realizing a topologically-ordered…

Strongly Correlated Electrons · Physics 2016-10-17 Franco T. Lisandrini , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

Topological error correction provides an effective method to correct errors in quantum computation. It allows quantum computation to be implemented with higher error threshold and high tolerating loss rates. We present a topological a error…

Quantum Physics · Physics 2021-05-19 Shuhong Hao , Meihong Wang , Dong Wang , Xiaolong Su

We consider qubits in a linear arrangement coupled to a bosonic field which acts as a quantum heat bath and causes decoherence. By taking the spatial separation of the qubits explicitly into account, the reduced qubit dynamics acquires an…

Mesoscale and Nanoscale Physics · Physics 2007-07-19 Roland Doll , Martijn Wubs , Peter Hanggi , Sigmund Kohler

Quantum phase estimation (QPE) serves as a building block of many different quantum algorithms and finds important applications in computational chemistry problems. Despite the rapid development of quantum hardware, experimental…

Quantum Physics · Physics 2024-03-01 Kentaro Yamamoto , Samuel Duffield , Yuta Kikuchi , David Muñoz Ramo

The high-fidelity storage of quantum information is crucial for quantum computation and communication. Many experimental platforms for these applications exhibit highly biased noise, with good resilience to spin depolarisation undermined by…

Quantum Physics · Physics 2023-05-31 Yannick Seis , Benjamin J. Brown , Anders S. Sørensen , Joseph F. Goodwin

First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model…

Nuclear Theory · Physics 2019-09-17 Michal Macek , Pavel Cejnar , Pavel Stránský , Jan Dobeš , Amiram Leviatan

We address quantum communication channels based on phase modulation of coherent states and analyze in details the effects of static and dynamical (stochastic) phase diffusion. We evaluate mutual information for an ideal phase receiver and…

Quantum Physics · Physics 2015-10-27 Jacopo Trapani , Berihu Teklu , Stefano Olivares , Matteo G. A. Paris

In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by…

Quantum Algebra · Mathematics 2017-12-06 Eric C. Rowell , Zhenghan Wang

Topological phases of matter are considered the bedrock of novel quantum materials as well as ideal candidates for quantum computers that possess robustness at the physical level. The robustness of the topological phase at finite…

Strongly Correlated Electrons · Physics 2017-05-05 Yu Zeng , Alioscia Hamma , Heng Fan

Quantum error correction protects quantum information against decoherence provided the noise strength remains below a critical threshold. This threshold marks the critical point for the decoding phase transition. Here we connect this…

Quantum Physics · Physics 2025-11-26 Ze-Min Huang , Luis Colmenarez , Markus Müller , Sebastian Diehl

Protecting quantum information from the detrimental effects of decoherence and lack of precise quantum control is a central challenge that must be overcome if a large robust quantum computer is to be constructed. The traditional approach to…

Quantum Physics · Physics 2009-11-13 D. Bacon

A qubit (containing two quantum states, 1 and 2), is coupled to a control register (state 3), which is subject to telegraph noise. We study the time evolution of the density matrix $\rho$ of an electron which starts in some coherent state…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Amnon Aharony , Ora Entin-Wohlman , Sushanta Dattagupta

A two-dimensional topologically ordered quantum memory is well protected against error if the energy gap is large compared to the temperature, but this protection does not improve as the system size increases. We review and critique some…

Quantum Physics · Physics 2015-03-11 Olivier Landon-Cardinal , Beni Yoshida , David Poulin , John Preskill

We consider a model of bosons on a regular lattice with a kinetic energy due to hopping among sites and a potential energy due to strong on site interaction. A superfluid phase is expected when the ground state of the local energy is doubly…

Statistical Mechanics · Physics 2007-05-23 F. de Pasquale , S. M. Giampaolo

We discuss a cluster-like 1D system with triplet interaction. We study the topological properties of this system. We find that the degeneracy depends on the topology of the system, and well protected against external local perturbations.…

Quantum Physics · Physics 2015-05-19 Yi-Xin Chen , Sheng-Wen Li , Zhi Yin

Simulating the topological phases of matter in synthetic quantum simulators is a topic of considerable interest. Given the universality of digital quantum simulators, the prospect of digitally simulating exotic topological phases is greatly…

Quantum Physics · Physics 2020-10-21 Feng Mei , Qihao Guo , Ya-Fei Yu , Liantuan Xiao , Shi-Liang Zhu , Suotang Jia