6 research outputs found
Unifying theory of quantum state estimation using past and future information
Quantum state estimation for continuously monitored dynamical systems
involves assigning a quantum state to an individual system at some time,
conditioned on the results of continuous observations. The quality of the
estimation depends on how much observed information is used and on how
optimality is defined for the estimate. In this work, we consider problems of
quantum state estimation where some of the measurement records are not
available, but where the available records come from both before (past) and
after (future) the estimation time, enabling better estimates than is possible
using the past information alone. Past-future information for quantum systems
has been used in various ways in the literature, in particular, the quantum
state smoothing, the most-likely path, and the two-state vector and related
formalisms. To unify these seemingly unrelated approaches, we propose a
framework for partially-observed quantum system with continuous monitoring,
wherein the first two existing formalisms can be accommodated, with some
generalization. The unifying framework is based on state estimation with
expected cost minimization, where the cost can be defined either in the space
of the unknown record or in the space of the unknown true state. Moreover, we
connect all three existing approaches conceptually by defining five new cost
functions, and thus new types of estimators, which bridge the gaps between
them. We illustrate the applicability of our method by calculating all seven
estimators we consider for the example of a driven two-level system
dissipatively coupled to bosonic baths. Our theory also allows connections to
classical state estimation, which create further conceptual links between our
quantum state estimators.Comment: 48 pages, 9 figure
Nonlocality activation in a photonic quantum network
Bell nonlocality refers to correlations between two distant, entangled
particles that challenge classical notions of local causality. Beyond its
foundational significance, nonlocality is crucial for device-independent
technologies like quantum key distribution and randomness generation.
Nonlocality quickly deteriorates in the presence of noise, and restoring
nonlocal correlations requires additional resources. These often come in the
form of many instances of the input state and joint measurements, incurring a
significant resource overhead. Here, we experimentally demonstrate that single
copies of Bell-local states, incapable of violating any standard Bell
inequality, can give rise to nonlocality after being embedded into a quantum
network of multiple parties. We subject the initial entangled state to a
quantum channel that broadcasts part of the state to two independent receivers
and certify the nonlocality in the resulting network by violating a tailored
Bell-like inequality. We obtain these results without making any assumptions
about the prepared states, the quantum channel, or the validity of quantum
theory. Our findings have fundamental implications for nonlocality and enable
the practical use of nonlocal correlations in real-world applications, even in
scenarios dominated by noise.Comment: Main text and Supplementary Information. Comments welcom