Five Lectures on Quantum Information Applications of Complex Many-Body Systems

2009 ◽  
pp. 97-124
Author(s):  
Sougato Bose
Keyword(s):  
Quantum Information ◽  
Many Body ◽  
Many Body Systems

scholarly journals Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 33 ◽  
Author(s):  
Liron Levy ◽  
Moshe Goldstein
Keyword(s):  
Phase Diagram ◽  
Information Theory ◽  
Quantum Information ◽  
Critical Point ◽  
Entanglement Entropy ◽  
Quantum Information Theory ◽  
Topological Phase ◽  
Many Body ◽  
Zero Modes ◽  
Many Body Systems

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D systems of the Kitaev type, which can host Majorana end modes at their edges. We find that the entanglement entropy may actually increase as a result of disorder, and identify the origin of this behavior in the appearance of an infinite-disorder critical point. We also employ the entanglement spectrum to accurately determine the phase diagram of the system, and find that disorder may enhance the topological phase, and lead to the appearance of Majorana zero modes in systems whose clean version is trivial.

scholarly journals Generation of multicomponent atomic Schrödinger cat states of up to 20 qubits

Science ◽  
2019 ◽  
Vol 365 (6453) ◽  
pp. 574-577 ◽  
Author(s):  
Chao Song ◽  
Kai Xu ◽  
Hekang Li ◽  
Yu-Ran Zhang ◽  
Xu Zhang ◽  
...  
Keyword(s):  
Quantum Information ◽  
Information Science ◽  
Quantum Information Processing ◽  
Ghz State ◽  
Many Body ◽  
Time Intervals ◽  
Fundamental Physics ◽  
Schrödinger Cat ◽  
Many Body Systems ◽  
Cat States

Multipartite entangled states are crucial for numerous applications in quantum information science. However, the generation and verification of multipartite entanglement on fully controllable and scalable quantum platforms remains an outstanding challenge. We report the deterministic generation of an 18-qubit Greenberger-Horne-Zeilinger (GHZ) state and multicomponent atomic Schrödinger cat states of up to 20 qubits on a quantum processor, which features 20 superconducting qubits, also referred to as artificial atoms, interconnected by a bus resonator. By engineering a one-axis twisting Hamiltonian, the system of qubits, once initialized, coherently evolves to multicomponent atomic Schrödinger cat states—that is, superpositions of atomic coherent states including the GHZ state—at specific time intervals as expected. Our approach on a solid-state platform should not only stimulate interest in exploring the fundamental physics of quantum many-body systems, but also enable the development of applications in practical quantum metrology and quantum information processing.

CAN ENTANGLEMENT BE EXTRACTED FROM MANY BODY SYSTEMS?

2007 ◽  
Vol 05 (01n02) ◽  
pp. 125-130
Author(s):  
GABRIELE DE CHIARA ◽  
ČASLAV BRUKNER ◽  
G. MASSIMO PALMA ◽  
ROSARIO FAZIO ◽  
VLATKO VEDRAL
Keyword(s):  
Information Theory ◽  
Heat Capacity ◽  
Magnetic Susceptibility ◽  
Quantum Information ◽  
Spin Chain ◽  
Optical Lattice ◽  
Quantum Information Theory ◽  
Many Body ◽  
Thermodynamical Properties ◽  
Many Body Systems

Some thermodynamical properties of solids, such as heat capacity and magnetic susceptibility, have recently been shown to be linked to the amount of entanglement in a solid. Until now, however, it was not clear whether this entanglement can be used as a resource in quantum information theory. Here we show that this entanglement is physical, demonstrating the principles of its extraction from a typical spin chain by scattering two particles off the system. Moreover, we show how to simulate this process using present-day optical lattice technology.

scholarly journals Computable constraints on entanglement-sharing of multipartite quantum states

2010 ◽  
Vol 10 (3&4) ◽  
pp. 223-238
Author(s):  
Y.-C. Ou ◽  
M.S. Byrd
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Quantum Information Theory ◽  
Quantum States ◽  
Many Body ◽  
Pure States ◽  
Arbitrary Dimensions ◽  
Many Body Systems ◽  
Bipartite States ◽  
Entanglement Sharing

\Negativity is regarded as an important measure of entanglement in quantum information theory. In contrast to other measures of entanglement, it is easily computable for bipartite states in arbitrary dimensions. In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and pure states, thus aiding in the quantification of constraints for entanglement-sharing. These may find applications in studying many-body systems.

scholarly journals Scrambling of quantum information in quantum many-body systems

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Eiki Iyoda ◽  
Takahiro Sagawa
Keyword(s):  
Quantum Information ◽  
Many Body ◽  
Many Body Systems

scholarly journals Reversible Quantum Information Spreading in Many-Body Systems near Criticality

2019 ◽  
Vol 123 (16) ◽  
Author(s):  
Quirin Hummel ◽  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Quantum Information ◽  
Many Body ◽  
Information Spreading ◽  
Many Body Systems

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems
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