Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arrow of Time for Continuous Quantum Measurement   We investigate the statistical arrow of time for a quantum system being
monitored by a sequence of measurements. For a continuous qubit measurement
example, we demonstrate that time-reversed evolution is always physically
possible, provided that the measurement record is also negated. Despite this
restoration of dynamical reversibility, a statistical arrow of time emerges,
and may be quantified by the log-likelihood difference between forward and
backward propagation hypotheses. We then show that such reversibility is a
universal feature of non-projective measurements, with forward or backward
Janus measurement sequences that are time-reversed inverses of each other.

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The categories of this paper are: math
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics