Catalysis in non--local quantum operations

Abstract

We show how entanglement can be used, without being consumed, to accomplish unitary operations that could not be performed with out it. When applied to infinitesimal transformations our method makes equivalent, in the sense of Hamiltonian simulation, a whole class of otherwise inequivalent two-qubit interactions. The new catalysis effect also implies the asymptotic equivalence of all such interactions.

4 pages, revtex

Cited by in corpus (24)

• Quantum entanglement
• A geometric theory of non-local two-qubit operations
• Quantum-optical catalysis: generating "Schroedinger kittens" by means of linear optics
• Four Locally Indistinguishable Ququad-Ququad Orthogonal Maximally Entangled States
• Characterization of two-qubit perfect entanglers
• Optimal Entanglement Generation from Quantum Operations
• Creating ensembles of dual unitary and maximally entangling quantum evolutions
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Catalysis of entanglement and other quantum resources
• Fundamental work cost of quantum processes
• Can local dynamics enhance entangling power?
• Construction and local equivalence of dual-unitary operators: from dynamical maps to quantum combinatorial designs
• Fungible dynamics: there are only two types of entangling multiple-qubit interactions
• Gate simulation and lower bounds on the simulation time
• Optimal simulation of nonlocal Hamiltonians using local operations and classical communication
• Entanglement changing power of two-qubit unitary operations
• Reversible simulation of bipartite product Hamiltonians
• Efficient Implementation of Controlled-Rotations by Using Entanglement
• Simulating Hamiltonian dynamics using many-qudit Hamiltonians and local unitary control
• Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation
• Continuous-variable quantum non-demolishing interaction at a distance
• Entanglement Capacity of Nonlocal Hamiltonians : A Geometric Approach
• Censorship of quantum resources against catalytic account sharing
• Entanglement - A Queer In The World Of Quantum : Some Perspectives