Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
Experimental Quantum Switching for Exponentially Superior Quantum Commu- nication Complexity
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Higher-dimensional two-way QKD protocols using mutually unbiased bases and Heisenberg-Weyl operators yield secret keys for stronger individual attacks and improved robustness to collective eavesdropping via entropic uncertainty relations.
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Higher-order quantum processes respecting closed labs in a spacetime have quantum controlled causal order
Higher-order quantum processes respecting closed labs in classical spacetime are exactly those realizable as quantum circuits with quantum control of causal order.
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Security of deterministic key distribution with higher-dimensional systems
Higher-dimensional two-way QKD protocols using mutually unbiased bases and Heisenberg-Weyl operators yield secret keys for stronger individual attacks and improved robustness to collective eavesdropping via entropic uncertainty relations.