Entanglement of Quantum Evolutions

By P. Z. I. F. S. I. Foundation, Istituto Nazionale per la Fisica della Materia. 2000

143 citations recorded by the source corpus.

The notion of entanglement can be naturally extended from quantum-states to the level of general quantum evolutions. This is achieved by considering multi-partite unitary transformations as elements of a multi-partite Hilbert space and then extended to general quantum operations. We show some connection between this entanglement and the entangling capabilities of the quantum evolution.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/ba38499bc06f3e68a5388841fe7f502267a1327a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. J. Dubail
2. Marko Znidaric
3. Tomaz Prosen
4. A. Nahum

In Atomic and Molecular Physics, and Optics

1. J. Dubail
2. Marko Znidaric
3. Tomaz Prosen
4. A. Nahum
5. Andrew J. Daley
6. V. Khemani
7. Berislav Buca
8. D. Huse

Citations in the corpus

• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1  +  1d (2016, methodology): “For integer values of α ≥ 2, the entanglement entropy can be rewritten as the expectation value of an operator, dubbed swap operator by Zanardi, Zalka and Faoro [26], in a replicated system.”
• Matrix product simulations of non-equilibrium steady states of quantum spin chains (2008, methodology): “As a rough estimate of a minimal needed matrix dimension D one can use the Von Neumann entropy of a super-ket defined as S = − ∑ j λj log2 λj , also called the operator space entanglement entropy (OSEE) (for an earlier definition in a different context see [48]).”