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Full-Text Articles in Physics
Reducing Sequencing Complexity In Dynamical Quantum Error Suppression By Walsh Modulation, David Hayes, Kaveh Khodjasteh, Lorenza Viola, Michael J. Biercuk
Reducing Sequencing Complexity In Dynamical Quantum Error Suppression By Walsh Modulation, David Hayes, Kaveh Khodjasteh, Lorenza Viola, Michael J. Biercuk
Dartmouth Scholarship
We study dynamical error suppression from the perspective of reducing sequencing complexity, with an eye toward facilitating the development of efficient semiautonomous quantum-coherent systems. To this end, we focus on digital sequences where all interpulse time periods are integer multiples of a minimum clock period and compatibility with digital classical control circuitry is intrinsic. We use so-called Walsh functions as a unifying mathematical framework; the Walsh functions are an orthonormal set of basis functions which may be associated directly with the control propagator for a digital modulation scheme. Using this insight, we characterize the suite of resulting Walsh dynamical decoupling …
Pointer States Via Engineered Dissipation, Kaveh Khodjasteh, Viatcheslav V. V. Dobrovitski, Lorenza Viola
Pointer States Via Engineered Dissipation, Kaveh Khodjasteh, Viatcheslav V. V. Dobrovitski, Lorenza Viola
Dartmouth Scholarship
Pointer states are long-lasting high-fidelity states in open quantum systems. We show how any pure state in a non-Markovian open quantum system can be made to behave as a pointer state by suitably engineering the coupling to the environment via open-loop periodic control. Engineered pointer states are constructed as approximate fixed points of the controlled open-system dynamics, in such a way that they are guaranteed to survive over a long time with a fidelity determined by the relative precision with which the dynamics is engineered. We provide quantitative minimum-fidelity bounds by identifying symmetry and ergodicity conditions that the decoherence-inducing perturbation …
Entanglement Patterns In Mutually Unbiased Basis Sets, Jay Lawrence
Entanglement Patterns In Mutually Unbiased Basis Sets, Jay Lawrence
Dartmouth Scholarship
A few simply-stated rules govern the entanglement patterns that can occur in mutually unbiased basis sets (MUBs), and constrain the combinations of such patterns that can coexist (ie , the stoichiometry) in full complements of (pN + 1) MUBs. We consider Hilbert spaces of prime power dimension (as realized by systems of N prime-state particles, or qupits), where full complements are known to exist, and we assume only that MUBs are eigenbases of generalized Pauli operators, without using a particular construction. The general rules include the following: 1) In any MUB, a particular qupit appears either in a pure …
Coherent-State Transfer Via Highly Mixed Quantum Spin Chains, Paola Cappellaro, Lorenza Viola, Chandrasekhar Ramanathan
Coherent-State Transfer Via Highly Mixed Quantum Spin Chains, Paola Cappellaro, Lorenza Viola, Chandrasekhar Ramanathan
Dartmouth Scholarship
Spin chains have been proposed as quantum wires in many quantum-information processing architectures. Coherent transmission of quantum information in spin chains over short distances is enabled by their internal dynamics, which drives the transport of single-spin excitations in perfectly polarized chains. Given the practical challenge of preparing the chain in a pure state, we propose to use a chain that is initially in the maximally mixed state. We compare the transport properties of pure and mixed-state chains and find similarities that enable the experimental study of pure-state transfer via mixed-state chains. We also demonstrate protocols for the perfect transfer of …