Probabilistic coding of quantum states

Journal Article · Sat Jul 15 00:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.012302· OSTI ID:20852872

Grudka, Andrzej; Wojcik, Antoni; Czechlewski, Mikolaj ^[1]

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1. Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznan (Poland)

We discuss the properties of probabilistic coding of two qubits to one qutrit and generalize the scheme to higher dimensions. We show that the protocol preserves the entanglement between the qubits to be encoded and the environment and can also be applied to mixed states. We present a protocol that enables encoding of n qudits to one qudit of dimension smaller than the Hilbert space of the original system and then allows probabilistic but error-free decoding of any subset of k qudits. We give a formula for the probability of successful decoding.

• OSTI ID: 20852872
• Journal Information: Physical Review. A, Vol. 74, Issue 1; Other Information: DOI: 10.1103/PhysRevA.74.012302; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ENERGY LEVELS
ERRORS
HILBERT SPACE
MIXED STATE
PROBABILISTIC ESTIMATION
PROBABILITY
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
SECRECY PROTECTION