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2017 ; 473
(2199
): 20160721
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Device-independent tests of quantum channels
#MMPMID28413337
Dall'Arno M
; Brandsen S
; Buscemi F
Proc Math Phys Eng Sci
2017[Mar]; 473
(2199
): 20160721
PMID28413337
show ga
We develop a device-independent framework for testing quantum channels. That is,
we falsify a hypothesis about a quantum channel based only on an observed set of
input-output correlations. Formally, the problem consists of characterizing the
set of input-output correlations compatible with any arbitrary given quantum
channel. For binary (i.e. two input symbols, two output symbols) correlations, we
show that extremal correlations are always achieved by orthogonal encodings and
measurements, irrespective of whether or not the channel preserves commutativity.
We further provide a full, closed-form characterization of the sets of binary
correlations in the case of: (i) any dihedrally covariant qubit channel (such as
any Pauli and amplitude-damping channels) and (ii) any universally-covariant
commutativity-preserving channel in an arbitrary dimension (such as any erasure,
depolarizing, universal cloning and universal transposition channels).