TY - JOUR

T1 - Quantum information capsule in multiple-qudit systems and continuous-variable systems

AU - Yamaguchi, Koji

AU - Hotta, Masahiro

N1 - Funding Information:
The authors thank Ursula Carow-Watamura, Takeshi Tomitsuka, Naoki Watamura, and Satoshi Watamura for useful discussions. This research was partially supported by JSPS KAKENHI Grant Numbers JP16K05311 (M.H.) and JP18J20057 (K.Y.), and by Graduate Program on Physics for the Universe of Tohoku University (K.Y.).
Publisher Copyright:
© 2020 Elsevier B.V.

PY - 2020/8/17

Y1 - 2020/8/17

N2 - Quantum correlations in an entangled many-body system are capable of storing information. Even when the information is injected by a local unitary operation to the system, the entanglement delocalizes it. In a recent study on multiple-qubit systems, it is shown that a virtual qubit defined in the correlation space plays a role of perfect storage of delocalized information, which is called a quantum information capsule (QIC). To enhance the capacity of quantum information storage, it is crucial to formulate the cases for multiple-qudit systems and continuous-variable (CV) systems. We analytically prove that it is possible to construct a QIC for general write operations of the systems. It turns out that the extension to quantum field theory is achievable. For Gaussian states, we explicitly construct a QIC for shift write operations. We analyze the time-evolution of QIC in a CV system to demonstrate the diffusion of information in entangled pure states.

AB - Quantum correlations in an entangled many-body system are capable of storing information. Even when the information is injected by a local unitary operation to the system, the entanglement delocalizes it. In a recent study on multiple-qubit systems, it is shown that a virtual qubit defined in the correlation space plays a role of perfect storage of delocalized information, which is called a quantum information capsule (QIC). To enhance the capacity of quantum information storage, it is crucial to formulate the cases for multiple-qudit systems and continuous-variable (CV) systems. We analytically prove that it is possible to construct a QIC for general write operations of the systems. It turns out that the extension to quantum field theory is achievable. For Gaussian states, we explicitly construct a QIC for shift write operations. We analyze the time-evolution of QIC in a CV system to demonstrate the diffusion of information in entangled pure states.

KW - Quantum entanglement

KW - Quantum memory

KW - Relativistic quantum information

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U2 - 10.1016/j.physleta.2020.126447

DO - 10.1016/j.physleta.2020.126447

M3 - Article

AN - SCOPUS:85083017997

VL - 384

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 23

M1 - 126447

ER -