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7 papers · 2 filters
Secret quantum communication of a reference frame
Giulio Chiribella, Lorenzo Maccone, Paolo Perinotti
We propose quantum cryptographic protocols to secretly communicate a reference frame- unspeakable information in the sense it cannot be encoded into a string of bits. Two distant p…
Quantum geometry and quantum algorithms
S. Garnerone, A. Marzuoli, M. Rasetti
Motivated by algorithmic problems arising in quantum field theories whose dynamical variables are geometric in nature, we provide a quantum algorithm that efficiently approximates…
Quantum Knitting
S. Garnerone, A. Marzuoli, M. Rasetti
We analyze the connections between the mathematical theory of knots and quantum physics by addressing a number of algorithmic questions related to both knots and braid groups. Knot…
Economical realization of phase covariant devices in arbitrary dimensions
Francesco Buscemi, Giacomo Mauro D'Ariano, Chiara Macchiavello
We describe a unified framework of phase covariant multi user quantum transformations for d-dimensional quantum systems. We derive the optimal phase covariant cloning and transposi…
Entropic information-disturbance tradeoff
Lorenzo Maccone
We show the flaws found in the customary fidelity-based definitions of disturbance in quantum measurements and evolutions. We introduce the "entropic disturbance" D and show that i…
Universal and phase covariant superbroadcasting for mixed qubit states
Francesco Buscemi, Giacomo Mauro D'Ariano, Chiara Macchiavello +1
We describe a general framework to study covariant symmetric broadcasting maps for mixed qubit states. We explicitly derive the optimal N to M superbroadcasting maps, achieving opt…