Author

P. Lunel

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Preprint Oct 2026

Approximate cloning of structured pure states

The no-cloning theorem is a cornerstone result in quantum mechanics that forbids copying of general quantum information. More quantitatively, even given $N$ copies of an unknown state, any channel producing an $(N+1)$-copy state incurs a nonzero trace-distance error on some inputs. Turning this around, one can ask abou...

Yaroslav Herasymenko, Jun-Qiao Lin, P. Lunel et al. · 0 citations

Preprint Aug 2026

Quantum gate lower bounds for loss-tolerant position verification

A new lower bound is given on any attack on this scheme, in particular proving nearly-linear quantum gate lower bounds on the attacker, even when allowing the attacker to declare a transmission loss of up to $50\%$, allowing for the challenges prepared by the referee to be imperfect, and allowing the quantum messages u...

Alexander May, P. Lunel · 2 citations