Localized Entanglement Purification (LEP) is a new family of protocols that purifies entanglement at the level of network regions by exploiting spatial noise asymmetries to reduce resource consumption for larger quantum systems.
An introduction to measurement based quantum computation
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abstract
In the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform computation by applying a sequence of measurements to designated qubits in designated bases. The choice of basis for later measurements may depend on earlier measurement outcomes and the final result of the computation is determined from the classical data of all the measurement outcomes. This is in contrast to the more familiar gate array model in which computational steps are unitary operations, developing a large entangled state prior to some final measurements for the output. Two principal schemes of measurement based computation are teleportation quantum computation (TQC) and the so-called cluster model or one-way quantum computer (1WQC). We will describe these schemes and show how they are able to perform universal quantum computation. We will outline various possible relationships between the models which serve to clarify their workings. We will also discuss possible novel computational benefits of the measurement based models compared to the gate array model, especially issues of parallelisability of algorithms.
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Quantum circuits for single and double fermionic excitations on ion traps reduce MS gate counts by factors of 2 and 4 respectively by using global interactions for optimal parallelism.
Maximal success probability for multicopy teleportation without receiver correction is p(d,k)=k/[d(k-1+d)], attained by explicit protocol using group representation theory, with application to enhanced quantum program storage/retrieval.
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Localized Entanglement Purification
Localized Entanglement Purification (LEP) is a new family of protocols that purifies entanglement at the level of network regions by exploiting spatial noise asymmetries to reduce resource consumption for larger quantum systems.
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Improved Strategies for Fermionic Quantum Simulation with Global Interactions
Quantum circuits for single and double fermionic excitations on ion traps reduce MS gate counts by factors of 2 and 4 respectively by using global interactions for optimal parallelism.
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Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
Maximal success probability for multicopy teleportation without receiver correction is p(d,k)=k/[d(k-1+d)], attained by explicit protocol using group representation theory, with application to enhanced quantum program storage/retrieval.