Quantum tensor product structures are observable-induced
Paolo Zanardi, Daniel Lidar, Seth Lloyd
Abstract
It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multi-partite tensor product structure of the state-space and the associated notion of quantum entanglement are then relative and observable-induced. We develop a general algebraic framework aimed to formalize this concept. We discuss several cases relevant to quantum information processing and decoherence control.
Create a lesson
Related papers
Parallel quantum channel discrimination and numerical ranges in tensor product subspaces
Adam Bílek, Paulina Lewandowska, Ryszard Kukulski
Asymptotically Good Quantum Locally Testable Codes
William Gay, Fernando Granha Jeronimo
All causally separable quantum processes are quantum circuits with classical control of causal order
Julian Wechs, Alastair A. Abbott, Cyril Branciard
Analytic leakage suppression with a single control field: fast two-qubit gates with tunable couplers
Lukas Heunisch, Michael J. Hartmann, Aashish A. Clerk
Procrastinating einselection in non-Markovian quantum dynamics
Michael J. Moody, Tara Kalsi, Agung Budiyono et al.
Quantum Entropy Contraction and Factorization from Hypercontractivity
Li Gao, Lijun Wang