Quantum dot implementation of CJoin gate with one-bit memory and periodic resets yields thermodynamic cost bounded by a few k_B T and particle emission bounded by irreversible entropy production plus dynamical activity in bipartite dynamics.
Let us consider the reset of thesth bit and write the state before the reset as, |p⟩= X x,xc px,xc |x⟩s |xc⟩,(D33) wherex c represents the state of bits other than thesth bit
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Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost
Quantum dot implementation of CJoin gate with one-bit memory and periodic resets yields thermodynamic cost bounded by a few k_B T and particle emission bounded by irreversible entropy production plus dynamical activity in bipartite dynamics.