Quantum information processing with superconducting circuits: realizing
and characterizing quantum gates and algorithms in open quantum systems
- URL: http://arxiv.org/abs/2401.07302v1
- Date: Sun, 14 Jan 2024 14:31:17 GMT
- Title: Quantum information processing with superconducting circuits: realizing
and characterizing quantum gates and algorithms in open quantum systems
- Authors: Hamid Sakhouf
- Abstract summary: This thesis focuses on quantum information processing using the superconducting device.
For the realization of quantum gates and algorithms, a one-step approach is used.
We suggest faster and more efficient schemes for realizing $X$-rotation and entangling gates for two and three qubits.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: This thesis focuses on quantum information processing using the
superconducting device, especially, on realizing quantum gates and algorithms
in open quantum systems. Such a device is constructed by transmon-type
superconducting qubits coupled to a superconducting resonator. For the
realization of quantum gates and algorithms, a one-step approach is used. We
suggest faster and more efficient schemes for realizing $X$-rotation and
entangling gates for two and three qubits. During these operations, the
resonator photon number is canceled owing to the strong microwave field added.
They do not require the resonator to be initially prepared in the vacuum state
and the scheme is insensitive to resonator decay. Furthermore, the robustness
of these operations is demonstrated by including the effect of the decoherence
of transmon systems and the resonator decay in a master equation, and as a
result, high fidelity will be achieved in quantum simulation. In addition,
using the implemented x-rotation gates as well as the phase gates, we present
an alternative way for implementing Grover's algorithm for two and three
qubits, which does not require a series of single gates. As well, we also
demonstrate by a numerical simulation the use of quantum process tomography to
fully characterize the performance of a single-shot entangling gate for two and
three qubits and obtain process fidelities greater than 0.93. These gates are
used to create Bell and Greenberger-Horne-Zeilinger (GHZ) entangled states.
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