QuICS

Quantum error-correcting codes are essential in the realization of a scalable fault-tolerant quantum computation. Traditionally, these codes encodes logical information in a fixed subspace of a many-body quantum system which allow correction of errors by performing commuting measurements to determine appropriate corrections. By allowing non-commuting measurements, one obtain the so called "subsystem’’ code which allow for simpler measurements and the ability to perform universal fault-tolerant computation by switching across logical subspaces.

Quantum information science is a promising, interdisciplinary field focusing on both understanding and utilizing quantum systems. Two major paradigms of quantum mechanics are discrete variable (finite dimensional) systems, such as qubits and qudits, and continuous variable (infinite dimensional) systems,  such as bosonic modes. In this dissertation, we explore the properties, protocols, and applications of both discrete and continuous variable systems.

Robust storage and manipulation of quantum information in realistic quantum devices remains one of the central challenges in realizing practical quantum computation. To resolve this problem, the quantum error correction (QEC) is proposed as a technique to perform robust encoding and operations in noisy and realistic quantum devices. In the quantum realm, two fundamentally different types of particles—fermions and bosons—exhibit distinct behaviors.