Intrinsic bounds of a two-qudit random evolution
A. Z. Khoury, A. M. Souza, L. E. Oxman, I. Roditi, R. S. Sarthour, I., S. Oliveira
TL;DR
This paper studies the evolution of entangled two-qudit states under random local operations, revealing intrinsic bounds that could enhance fault-tolerant quantum gate implementations, supported by theory, simulations, and NMR experiments.
Contribution
It introduces analytical bounds on two-qudit entangled states under random local $SU(d)$ operations, combining theory, simulations, and experimental validation.
Findings
Intrinsic bounds constrain two-qudit entangled evolution.
Robust features support fault-tolerant phase gates.
Experimental confirmation via liquid-state NMR.
Abstract
We investigate entangled qudits evolving under random, local operations and demonstrate that this evolution is constrained by intrinsic bounds, showing robust features of two-qudit entangled states that can be useful for fault tolerant implementations of phase gates. Our analytical results are supported by numerical simulations and confirmed by experiments on liquid-state nuclear magnetic resonance qubits.
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