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Showing 1 to 7 of 7 for “"qudits"”.
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Sensitivity to Imperfections of Analog Quantum Simulation on Atomic Qudits
As uncorrected quantum processors grow in sophistication, many are being used for analog quantum simulation (AQS) of novel physics beyond the capabilities of classical devices. However, without the guarantee of bounded errors achieved by digitizing the computation, we do not know when and how much …
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Optimising Qubit Designs for Topological Quantum Computation
… are given for the limits placed on d-dimensional qudits where logic gates are imposed by braiding anyons in 2+1 dimensions. We also study qudits designed from ring-shaped, anyon-like excitations in 3+1 dimensions, where logic gates are implemented by elements of the loop braid group. We introduce …
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Complexity of Basis-Restricted Local Hamiltonians
… generally to higher-level quantum systems (qudits) and bases Q and R (which are real-valued and satisfy an overlap condition): The commmuting Quantum-Sat problem on qudits, where Hamiltonian terms are either diagonal in the Q basis, the R basis, or a single mixed Q/R basis, is in NP.
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Beyond qubits: Quantum optimization and lattice gauge theories in a qudit framework
… higher-dimensional local Hilbert spaces — qudits — to encode information, enforce constraints, and simulate complex physical systems more naturally and efficiently. This thesis investigates two interconnected research fronts in which the qudit framework provides concrete benefits: quantum …
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Optimal control and speed limits of two-qubit quantum gates
… two-qubit gates for a system of two interacting qudits. In many quantum computing platforms, there exist extra physical states outside the qubit subspace that can be well controlled, and these states may enable faster implementations of two-qubit gate without increasing the physical interaction …
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Optimal control and speed limits of two-qubit quantum gates
… two-qubit gates for a system of two interacting qudits. In many quantum computing platforms, there exist extra physical states outside the qubit subspace that can be well controlled, and these states may enable faster implementations of two-qubit gate without increasing the physical interaction …
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Control of neutral atoms in optical lattices
… of atoms forms an ensemble of different qudits. Borrowing ideas developed for NMR control, we show how to drive the ensemble through a given evolution. We show that even in the presence of large experimental errors, state preparation may be achieved with high fidelities. We also show that …