A single phase defect in a single-qubit discrete-time quantum walk breaks translational symmetry to convert two losing games into persistent directed quantum ratchet transport via interference.
Quantum Parrondo's Games
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abstract
Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by general SU(2) operators to transform the game into the quantum domain. In the initial state, a superposition of qubits can be used to couple the games and produce interference leading to quite different payoffs to those in the classical case.
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2025 1verdicts
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Quantum Parrondo Paradox via a Single Phase Defect Symmetry Breaking and Directed Transport
A single phase defect in a single-qubit discrete-time quantum walk breaks translational symmetry to convert two losing games into persistent directed quantum ratchet transport via interference.