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Showing 1 to 15 of 15 for “"quantum gate"”.
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Randomized Benchmarking Simulations of Quantum Gate Sequences with Z-gate Virtualization
The implementation of quantum algorithms relies on high fidelity quantum gate operations. Single and two-qubit gate errors lead to reductions in the average fidelity of quantum gate sequences. Using the Z-gate virtualization procedure, the average sequence fidelity of single-qubit gate sequences …
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Entanglement and quantum gate processes in the one-dimensional quantum harmonic oscillator
Quantum states can contain correlations which are stronger than is possible in classical systems. Quantum information technologies use these correlations, which are known as entanglement, as a resource for implementing novel protocols in a diverse range of fields such as cryptography, teleportation …
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Implementing Quantum Gates With Length-3 Dynamic Graphs
The continuous-time quantum walk is a quantum version of a random walk that evolves by Schrodinger's equation. With the Hamiltonian equal to the adjacency matrix of a sequence of graphs, called a dynamic graph, continuous-time quantum walks have been shown to implement quantum gates, including the …
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Logical and algebraic structures from Quantum Computation
… open problems regarding the axiomatisation of quantum computational logics. This thesis will be structured as follows: in Chapter 2 we will review some basics of universal algebra and functional analysis. In Chapters 3 through 6 the fundamentals of quantum gate theory will be produced. In …
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Digital Quantum Computing for Many-Body Simulations
Abstract Iris The power of quantum computing lies in its ability to perform certain calculations and solve complex problems exponentially faster than classical computers. This potential has profound implications for a wide range of fields, including particle physics. This thesis lays a fundamental …
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Numerical Synthesis of Arbitrary Multi-Qubit Unitaries with low 𝑇-Count
Quantum gate synthesis based on numerical optimization produces efficient circuits for NISQ (Noisy Intermediate-Scale Quantum) computing by minimizing the num- ber of two-qubit gates. The requirements for fault tolerant quantum computing are significantly different in that some single qubit gates …
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A classification of reversible bit and stabilizer operations
… of a classification of classical reversible gates acting on bits in terms of the reversible transformations they generate, which was recently completed by the author, Scott Aaronson, and Luke Schaeffer. In particular, we present those portions of the classification which were the main …
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Computation in models inspired by near-term quantum devices
The race is on to build the first quantum computer, and although there are many groups working towards this goal, their quantum devices have certain architectural properties in common. First, the devices tend to be built on qubits arranged in a 2D grid, with gates between neighboring qubits. …
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The space around BQP
This thesis explores the computational power of quantum devices from the perspective of computational complexity theory. Quantum computers hold the promise of solving many problems exponentially faster than classical computers. The computational power of universal quantum devices is captured by the …
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Quantum Computation With Electron Spins of Phosphorous Donors in Silicon
The discovery of efficient quantum algorithms a decade ago has shown that a quantum computer encoding and processing information quantum mechanically, can solve important problems intractable with conventional computers. The invention of quantum error correction principle, makes quantum computation …
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Topics in Computing with Quantum Oracles and Higher-Dimensional Many-Body Systems
Since they were first envisioned, quantum computers have oft been portrayed as devices of limitless power, able to perform calculations in a mere instant that would take current computers years to determine. This is, of course, not the case. A huge amount of effort has been invested in trying to …
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Graphics Processing Unit-Accelerated Numerical Simulations and Theoretical Study of Qubit Dynamics in Realistic Systems
Quantum computers are thought to be the future of computation, using the properties of quantum mechanics to solve problems intractable to classical computers. Quantum computing leverages non-classical properties, such as entanglement, to achieve an exponential improvement in computational power. A …
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Design Methods for Reliable Quantum Circuits
Quantum computing is an emerging technology that has the potential to change the perspectives and applications of computing in general. A wide range of applications are enabled: from faster algorithmic solutions of classically still difficult problems to theoretically more secure communication …
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Quantum computing with naturally trapped sub-nanometre-spaced ions
… for the experimental realisation of a quantum mechanical controlled NOT gate in rare-earth-metal-ion-doped crystals. Small amounts of rare-earth elements, added during the growth of some inorganic crystals, will become substituted into the crystal lattice as trivalent ions. The …