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Full-Text Articles in Physical Sciences and Mathematics
Quantum Error Detection Without Using Ancilla Qubits, Nicolas Guerrero
Quantum Error Detection Without Using Ancilla Qubits, Nicolas Guerrero
Theses and Dissertations
Quantum computers are beset by errors from a variety of sources. Although quantum error correction and detection codes have been developed since the 1990s, these codes require mid-circuit measurements in order to operate. In order to avoid these measurements we have developed a new error detection code that only requires state collapses at the end of the circuit, which we call no ancilla error detection (NAED). We investigate some of the mathematics behind NAED such as which codes can detect which errors. We then run NAED on three separate types of circuits: Greenberger–Horne–Zeilinger circuits, phase dependent circuits, and a quantum …
On Incorporating The Stochasticity Of Quantum Machine Learning Into Classical Models, Joseph Lindsay
On Incorporating The Stochasticity Of Quantum Machine Learning Into Classical Models, Joseph Lindsay
Theses and Dissertations
While many of the most exciting quantum computing algorithms are currently impossible to be implemented until fault-tolerant quantum error correction is achieved, noisy intermediate-scale quantum (NISQ) devices allow for smaller scale applications that leverage the paradigm for speed-ups to be researched and realized. A currently popular application for these devices is quantum machine learning (QML). Recent works over the past few years indicate that QML algorithms can function just as well as their classical counterparts, and even outperform them in some cases. Many current QML models take advantage of variational quantum algorithm (VQA) circuits, given that their scale is typically …
Determination Of Vortex Locations In A 2x2 Array Of Josephson Junctions For Topological Quantum Computation, Casey L. Kowalski
Determination Of Vortex Locations In A 2x2 Array Of Josephson Junctions For Topological Quantum Computation, Casey L. Kowalski
Theses and Dissertations
A large barrier to practical quantum computation exists in the form of qubit decoherence, which leads to high noise and error when implementing quantum algorithms. A potential solution to this problem is the use of topologically-protected Majorana-based qubits, as their nonlocal nature and unique non-abelian exchange statistics render them virtually immune to decoherence while still allowing the state to be easily manipulated. For such a qubit to be constructed, it is essential to know the locations of the Majorana-hosting vortices in the system. This work presents a solution for the formation locations of vortices in a 2x2 superconducting island array, …