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arXiv:quant-ph/0409221 · Physical Review A

Quantum gloves: Quantum states that encode as much as possible chirality and nothing else

Daniel Collins, Lajos Diósi, N. Gisin, Serge Massar, Sandu Popescu

Published Aug 4, 2005• 10 citations
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Abstract

Communicating a physical quantity cannot be done using information only---i.e., using abstract cbits and∕or qubits. Rather one needs appropriate physical realizations of cbits and∕or qubits. We illustrate this by considering the problem of communicating chirality. We discuss in detail the physical resources this necessitates and introduce the natural concept of quantum gloves---i.e., rotationally invariant quantum states that encode as much as possible the concept of chirality and nothing more.

DOI
10.1103/physreva.72.022304

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Communicating a physical quantity cannot be done using information only---i.e., using abstract cbits and∕or qubits. Rather one needs appropriate physical realizations of cbits and∕or qubits. We illustrate this by considering the problem of communicating chirality. We discuss in detail the physical resources this necessitates and introduce the natural concept of quantum gloves---i.e., rotationally invariant quantum states that encode as much as possible the concept of chirality and nothing more.
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By exploiting a symmetric scheme for coupling NNN spin-1∕21∕21∕2 constituents (the physical qubits) to states with total angular momentum $N∕2\ensuremath{-}1$, we construct rotationally invariant logical qudits of dimension $d=N\ensuremath{-}1$. One can encode all qudit states, and realize all qudit measurements, by this construction. The rotational invariance of all relevant objects enables one to transmit quantum information without having aligned reference frames between the parties that exchange the qudits. We illustrate the method by explicit constructions of reference-frame-free qubits and qutrits and, for the qubit case, comment on possible experimental implementations.
Quantum Information Encoding via Entangled Particles addresses the challenge of efficiently storing and transmitting quantum information by establishing a rigorous mathematical framework for encoding it into entangled particle states. This paper explores a novel geometric representation that formalizes the relationship between the quantum state and encoded information, offering a potential paradigm shift in quantum data storage and transmission. We detail the core mechanism of this framework, emphasizing its ability to provide a robust foundation for advanced quantum protocols. The paper concludes with a discussion of the potential implications and future research directions.