Print Email Facebook Twitter Simulating and Analyzing Two Protocols for the Concentration of Entanglement Title Simulating and Analyzing Two Protocols for the Concentration of Entanglement Author Bharos, Niveda (TU Delft Applied Sciences) Contributor Elkouss Coronas, D. (mentor) Degree granting institution Delft University of Technology Programme Applied Physics | Quantum Technology Date 2021-05-17 Abstract Many applications of quantum communication require a high amount of entanglement between the states of two separated parties, for example quantum teleportation or superdense coding. However, when states are locally entangled and then separated, errors arise during transportation of the qubits. This results in a lower amount of entanglement between the states. Thus, we need protocols that apply local operations on the qubits of the two separate parties to achieve higher entanglement. This is called entanglement concentration. We analyze two protocols that classically can be used for the extraction of randomness and apply it to the concentration of entanglement: Von Neumann’s protocol and Elias’s protocol. These protocols are well-described in the literature. We analyze the performance of the protocols on quantum computers with varying error rates. We find that Von Neumann’s protocol extracts entanglement similar to the theory on the best 5-qubit processor (Athens): there is an average percentage change in the concurrence when the protocol succeeds of 49.0%, which is close to the theoretical value of 52.5%. Elias’s protocol requires many more qubits than Von Neumann’s protocol. The only quantum computer large enough to run the protocol (Melbourne) has high error rates. Also, Elias’s protocol requires more operations. This results in higher errors when we execute the protocol on Melbourne. We execute the protocol with 2 initial states and find an average percentage decrease of the concurrence when the protocol succeeds of 72.6%. Thus, we find that Elias’s protocol is not suited to use in practice and the Von Neumann protocol can be used to extract entanglement with the best quantum processors used in this work. Subject Quantum InformationEntanglementQuantum computation To reference this document use: http://resolver.tudelft.nl/uuid:74705eff-36fd-4e66-8f6a-c9ba7bf45c60 Part of collection Student theses Document type bachelor thesis Rights © 2021 Niveda Bharos Files PDF Thesis.pdf 1.07 MB Close viewer /islandora/object/uuid:74705eff-36fd-4e66-8f6a-c9ba7bf45c60/datastream/OBJ/view