Minimal conditions for local pure-state entanglement manipulation
نویسندگان
چکیده
We find a minimal set of necessary and sufficient conditions for the existence of a local procedure that converts a finite pure state into one of a set of possible final states. This result provides a powerful method for obtaining optimal local entanglement manipulation protocols for pure initial states. As an example, we determine analytically the optimal distillable entanglement for arbitrary finite pure states. We also construct an explicit protocol achieving this bound.
منابع مشابه
Approximate transformations and robust manipulation of bipartite pure state entanglement
We analyze approximate transformations of pure entangled quantum states by local operations and classical communication, finding explicit conversion strategies which optimize the fidelity of transformation. These results allow us to determine the most faithful teleportation strategy via an initially shared partially entangled pure state. They also show that procedures for entanglement manipulat...
متن کاملCharacterizing the combinatorics of distributed EPR pairs for multi-partite entanglement
We develop protocols for preparing a GHZ state and, in general, a pure multi-partite maximally entangled state in a distributed network with apriori quantum entanglement between agents using classical communication and local operations. We investigate and characterize the minimal combinatorics of the sharing of EPR pairs required amongst agents in a network for the creation of multi-partite ent...
متن کاملOn the Characterization of Entanglement
In the context of N-party composite systems some considerations about entanglement magnitudes defined on the set of their states are made. A minimal set of necessary and sufficient requirements any such magnitude has to fulfil if it is to be non-increasing under the local action of the N classically communicating parties is presented. With the help of some magnitudes satisfying these conditions...
متن کاملMeasuring the entanglement of bipartite pure states
The problem of the experimental determination of the amount of entanglement of a bipartite pure state is addressed. We show that measuring a single observable does not suffice to determine the entanglement of a given unknown pure state of two particles. Possible minimal local measuring strategies are discussed and a comparison is made on the basis of their best achievable precision. PACS-number...
متن کاملEntanglement-assisted local manipulation of pure quantum states
We demonstrate that local transformations on a composite quantum system can be enhanced in the presence of certain entangled states. These extra states act much like catalysts in a chemical reaction: they allow otherwise impossible local transformations to be realised, without being consumed in any way. In particular, we show that this effect can considerably improve the efficiency of entanglem...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999