Quantum Information Meets Quantum Matter

  title={Quantum Information Meets Quantum Matter},
  author={Bei Zeng and Xie Chen and Duanlu Zhou and Xiao-Gang Wen},
  journal={Quantum Science and Technology},
  • B. ZengXie Chen X. Wen
  • Published 11 August 2015
  • Physics, Education
  • Quantum Science and Technology
This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We keep the writing in a self-consistent way, requiring minimum background in quantum information science. Basic knowledge in undergraduate quantum physics and condensed matter physics is assumed. We start slowly from the basic ideas in quantum information theory, but wish to eventually bring the… 

Quantum Information Processing: An Essential Primer

  • E. Soljanin
  • Physics
    IEEE Journal on Selected Areas in Information Theory
  • 2020
This primer introduces the most basic quantum information theoretic notions concerning entropy, sources, and channels, as well as secure communications and error correction, and illustrates the power of quantum correlations.

Dynamical phase error in interacting topological quantum memories

A local Hamiltonian with topological quantum order (TQO) has a robust ground-state degeneracy that makes it an excellent quantum memory candidate. This memory can be corrupted however if part of the

Genuine quantum correlations of quantum many-body systems

Quantum information theory has considerably helped in the understanding of quantum many-body systems. Since the early 2000s various measures of quantum entanglement have been employed to characterise

Quantum computation by teleportation and symmetry

A preliminary overview of measurement-based quantum computation (QC) in the setting of symmetry and topological (TOP) phases of quantum matter is given. The underlying mechanism for universal QC by

Entanglement measure for Kondo spin at finite temperatures

Kondo effect is one of the most important phenomena in condensed matter physics [1]. It may be regarded as the simplest system in which electron correlations are essential. The correlation effect can

A comparative study of universal quantum computing models: towards a physical unification

  • D.-S. Wang
  • Computer Science, Physics
    Quantum Eng.
  • 2021
This work carried out a primary attempt to unify UQCM by classifying a few of them as two categories, hence making a table of models, which reveals the importance and feasibility of systematic study of computing models.

Genuine quantum correlations in quantum many-body systems: a review of recent progress

The aim of this work is to review the most recent developments regarding correlations in quantum many-body systems focussing on multipartite entanglement, quantum nonlocality, quantum discord, mutual information but also other non classical measures of correlations based on quantum coherence.

Single-Copies Estimation of Entanglement Negativity.

A scheme to estimate the entanglement negativity for any bipartition of a composite system based on the random unitary evolution and local measurements on a single-copy quantum state, which is more practical compared to former methods based on collective measurements on many copies of the identical state.

Modern Physics of the Condensed State: Strong Correlations and Quantum Topology

The theme of this survey is the application of new ideas of uncommon quantum states to the physics of the condensed state, in particular, of solids, in the context of the contemporary field theory. A

Intrinsic sign problems in topological quantum field theories

The sign problem is a widespread numerical hurdle preventing us from simulating the equilibrium behavior of various problems at the forefront of physics. Focusing on an important sub-class of such



Quantum computation and quantum information

  • T. Paul
  • Physics
    Mathematical Structures in Computer Science
  • 2007
This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal

Entanglement in quantum critical phenomena.

The results establish a precise connection between concepts of quantum information, condensed matter physics, and quantum field theory, by showing that the behavior of critical entanglement in spin systems is analogous to that of entropy in conformal field theories.

Origin of gauge bosons from strong quantum correlations.

  • X. Wen
  • Physics
    Physical review letters
  • 2002
Through models, it is shown that the existence of light can simply be a phenomenon of quantum coherence in a system with many degrees of freedom.

Valence-bond states for quantum computation

This work proves the equivalence of the cluster-state-based quantum computational model and the teleportation-based model, and shows that all stabilizer states have a very simple interpretation in terms of valence-bond solids, which allows to understand their entangled properties in a transparent way.

Identifying phases of quantum many-body systems that are universal for quantum computation.

A simple spin-lattice system based on the cluster-state model is investigated, and it is demonstrated that it possesses a quantum phase transition between a disordered phase and an ordered "cluster phase" in which it is possible to perform a universal set of quantum gates.

The Power of Quantum Systems on a Line

The proof of the QMA-completeness result requires an additional idea beyond the usual techniques in the area: Some illegal configurations cannot be ruled out by local checks, and are instead ruled out because they would, in the future, evolve into a state which can be seen locally to be illegal.

The Church of the Symmetric Subspace

The purpose of the article is to collect in one place many, if not all, of the quantum information applications of the symmetric subspace, and to collect some new proofs of existing results, such as a variant of the exponential de Finetti theorem.

Topological Quantum Computation

The connection between fault-tolerant quantum computation and nonabelian quantum statistics in two spatial dimensions is explored and it is shown that if information is encoded in pairs of quasiparticles, then the Aharonov-Bohm interactions can be adequate for universal fault-Tolerance quantum computation.