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pro vyhledávání: '"Garner, Andrew J."'
Non-commutative polynomial optimization (NPO) problems seek to minimize the state average of a polynomial of some operator variables, subject to polynomial constraints, over all states and operators, as well as the Hilbert spaces where those might be
Externí odkaz:
http://arxiv.org/abs/2408.02572
Autor:
Garner, Andrew J. P., Araújo, Mateus
Non-commutative polynomial optimization is a powerful technique with numerous applications in quantum nonlocality, quantum key distribution, causal inference, many-body physics, amongst others. The standard approach is to reduce such optimizations to
Externí odkaz:
http://arxiv.org/abs/2406.15559
We consider the problem of optimizing the state average of a polynomial of non-commuting variables, over all states and operators satisfying a number of polynomial constraints, and over all Hilbert spaces where such states and operators are defined.
Externí odkaz:
http://arxiv.org/abs/2311.18707
Atmospheric concentrations and potential sources of dioxin-like contaminants to Acadia National Park
Autor:
Pagano, James J., Garner, Andrew J., Hopke, Philip K., Pagano, Justin K., Gawley, William G., Holsen, Thomas M.
Publikováno v:
In Environmental Pollution 1 September 2024 356
Publikováno v:
Phys. Rev. X 13, 041001 (2023)
It is a fundamental prediction of quantum theory that states of physical systems are described by complex vectors or density operators on a Hilbert space. However, many experiments admit effective descriptions in terms of other state spaces, such as
Externí odkaz:
http://arxiv.org/abs/2112.09719
Publikováno v:
Physical Review X 12, 011007 (2022)
Central to the success of adaptive systems is their ability to interpret signals from their environment and respond accordingly -- they act as agents interacting with their surroundings. Such agents typically perform better when able to execute incre
Externí odkaz:
http://arxiv.org/abs/2108.10876
Publikováno v:
Quantum 6, 636 (2022)
Quantum Darwinism posits that the emergence of a classical reality relies on the spreading of classical information from a quantum system to many parts of its environment. But what are the essential physical principles of quantum theory that make thi
Externí odkaz:
http://arxiv.org/abs/2012.06559
Quantum bits can be isolated to perform useful information-theoretic tasks, even though physical systems are fundamentally described by very high-dimensional operator algebras. This is because qubits can be consistently embedded into higher-dimension
Externí odkaz:
http://arxiv.org/abs/2004.06136
Autor:
Garner, Andrew J. P.
Publikováno v:
Chaos 31, 063131 (2021)
The minimum heat cost of computation is subject to bounds arising from Landauer's principle. Here, I derive bounds on finite modelling -- the production or anticipation of patterns (time-series data) -- by devices that model the pattern in a piecewis
Externí odkaz:
http://arxiv.org/abs/1912.03217
Autor:
Elliott, Thomas J., Yang, Chengran, Binder, Felix C., Garner, Andrew J. P., Thompson, Jayne, Gu, Mile
Publikováno v:
Phys. Rev. Lett. 125, 260501 (2020)
Effective and efficient forecasting relies on identification of the relevant information contained in past observations -- the predictive features -- and isolating it from the rest. When the future of a process bears a strong dependence on its behavi
Externí odkaz:
http://arxiv.org/abs/1909.02817