80 citations · 589 across the 34 of their papers we have counts for
35 papers
Quantum complementarity
Davide Rolino, Paolo Perinotti, Alessandro Tosini
We propose an operational definition of complementarity, pinning down the concept originally introduced by Bohr. Two properties of a system are considered complementary if they can…
Disentangling signalling and causal influence
Kathleen Barsse, Paolo Perinotti, Alessandro Tosini +1
The causal effects activated by a quantum interaction are studied, modelling the last one as a bipartite unitary channel. The two parties, say Alice and Bob, can use the channel to…
Fermionic cellular automata in one dimension
Lorenzo S. Trezzini, Matteo Lugli, Paolo Meda +3
We consider quantum cellular automata for one-dimensional chains of Fermionic modes and study their implementability as finite depth quantum circuits. Fermionic automata have been…
Minimal operational theories: classical theories with quantum features
Davide Rolino, Marco Erba, Alessandro Tosini +1
We introduce a class of probabilistic theories, termed Minimal Strongly Causal Operational Probabilistic Theories, where system dynamics are constrained to the minimal set of opera…
The signaling dimension in generalized probabilistic theories
Michele Dall'Arno, Alessandro Tosini, Francesco Buscemi
The signaling dimension of a given physical system quantifies the minimum dimension of a classical system required to reproduce all input/output correlations of the given system. T…
Causal influence versus signalling for interacting quantum channels
Kathleen Barsse, Paolo Perinotti, Alessandro Tosini +1
A causal relation between quantum agents, say Alice and Bob, is necessarily mediated by an interaction. Modelling the last one as a reversible quantum channel, an intervention of A…
Measurement incompatibility is strictly stronger than disturbance
Marco Erba, Paolo Perinotti, Davide Rolino +1
The core of Heisenberg's heuristic argument for the uncertainty principle, involving the famous -ray microscope , hinges upon the existence of measu…
Which entropy for general physical theories?
Paolo Perinotti, Alessandro Tosini, Leonardo Vaglini
We address the problem of quantifying the information content of a source for an arbitrary information theory, where the information content is defined in terms of the asymptotic a…
Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication
Francesco Buscemi, Kodai Kobayashi, Shintaro Minagawa +2
While there is general consensus on the definition of incompatible POVMs, moving up to the level of instruments one finds a much less clear situation, with mathematically different…
Incompatibility of observables, channels and instruments in information theories
Giacomo M. D'Ariano, Paolo Perinotti, Alessandro Tosini
Every theory of information, including classical and quantum, can be studied in the framework of operational probabilistic theories--where the notion of test generalizes that of qu…
Shannon theory beyond quantum: information content of a source
Paolo Perinotti, Alessandro Tosini, Leonardo Vaglini
The information content of a source is defined in terms of the minimum number of bits needed to store the output of the source in a perfectly recoverable way. A similar definition…
Shannon theory for quantum systems and beyond: information compression for fermions
Paolo Perinotti, Alessandro Tosini, Leonardo Vaglini
We address the task of compression of fermionic quantum information. Due to the parity superselection rule, differently from the case of encoding of quantum information in qubit st…
Unambiguous discrimination of Fermionic states through local operations and classical communication
Matteo Lugli, Paolo Perinotti, Alessandro Tosini
The paper studies unambiguous discrimination of Fermionic states through local operations and classical communication (LOCC). In the task of unambiguous discrimination, no error is…
Fermionic state discrimination by local operations and classical communication
Matteo Lugli, Paolo Perinotti, Alessandro Tosini
We consider the problem of local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems. We show that, contrary to the…
Information and disturbance in operational probabilistic theories
Giacomo Mauro D'Ariano, Paolo Perinotti, Alessandro Tosini
Any measurement is intended to provide information on a system, namely knowledge about its state. However, we learn from quantum theory that it is generally impossible to extract i…
Data-Driven Inference, Reconstruction, and Observational Completeness of Quantum Devices
Michele Dall'Arno, Francesco Buscemi, Alessandro Bisio +1
The range of a quantum measurement is the set of outcome probability distributions that can be produced by varying the input state. We introduce data-driven inference as a protocol…
Solutions of a two-particle interacting quantum walk
Alessandro Bisio, Giacomo Mauro D'Ariano, Nicola Mosco +2
We study the solutions of the interacting Fermionic cellular automaton introduced in Ref. [Phys Rev A 97, 032132 (2018)]. The automaton is the analogue of the Thirring model with b…
The Thirring quantum cellular automaton
A. Bisio, G. M. D'Ariano, P. Perinotti +1
We analytically diagonalize a discrete-time on-site interacting fermionic cellular automaton in the two-particle sector. Important features of the solutions sensibly differ from th…
Path-sum solution of the Weyl Quantum Walk in 3+1 dimensions
Giacomo Mauro D'Ariano, Nicola Mosco, Paolo Perinotti +1
We consider the Weyl quantum walk in 3+1 dimensions, that is a discrete-time walk describing a particle with two internal degrees of freedom moving on a Cayley graph of the group $…
No-hypersignaling principle
Michele Dall'Arno, Sarah Brandsen, Alessandro Tosini +2
A paramount topic in quantum foundations, rooted in the study of the EPR paradox and Bell inequalities, is that of characterizing quantum theory in terms of the space-like correlat…
Quantum walks with a one-dimensional coin
Alessandro Bisio, Giacomo Mauro D'Ariano, Marco Erba +2
Quantum walks (QWs) describe particles evolving coherently on a lattice. The internal degree of freedom corresponds to a Hilbert space, called coin system. We consider QWs on Cayle…
Discrete time Dirac quantum walk in 3+1 dimensions
Giacomo Mauro D'Ariano, Nicola Mosco, Paolo Perinotti +1
In this paper we consider quantum walks whose evolution converges to the Dirac equation one in the limit of small wave-vectors. We show exact Fast Fourier implementation of the Dir…
Weyl, Dirac and Maxwell Quantum Cellular Automata: analitical solutions and phenomenological predictions of the Quantum Cellular Automata Theory of Free Fields
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti +1
Recent advances on quantum foundations achieved the derivation of free quantum field theory from general principles, without referring to mechanical notions and relativistic invari…
Free quantum field theory from quantum cellular automata: derivation of Weyl, Dirac and Maxwell quantum cellular automata
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti +1
After leading to a new axiomatic derivation of quantum theory, the new informational paradigm is entering the domain of quantum field theory, suggesting a quantum automata framewor…