Design and Construction of a Three-Node Quantum Network
Dissertation Committee Chair: Prof. Christopher Monroe
Committee:
Prof. Alicia Kollár
Prof. Norbert Linke
Prof. Steven Rolston
Prof. Ronald Walsworth
Abstract:
Crystallography of Hyperbolic Lattices
Hyperbolic lattices are tessellations of the hyperbolic plane using,for instance, heptagons or octagons. They are relevant for quantumerror correcting codes and experimental simulations of curved spacequantum physics in circuit quantum electrodynamics. Underneath theirperplexing beauty lies a hidden and, perhaps, unexpected periodicitythat allows us to identify the unit cell and Bravais lattice for agiven hyperbolic lattice. This paves the way for applying powerfulconcepts from solid state physics and, potentially, finding a
Fault-tolerant error correction using flags and error weight parities
Fault-tolerant error correction (FTEC), a procedure which suppresses error propagation in a quantum circuit, is one of the most important components for building large-scale quantum computers. One major technique often used in recent works is the flag technique, which uses a few ancillas to detect faults that can lead to errors of high weight and is applicable to various fault-tolerant schemes. In this talk, I will further improve the flag technique by introducing the use of error weight parities in error correction.
Fermion Sampling: a robust quantum computational advantage scheme using fermionic linear optics and magic input states
Fermionic Linear Optics (FLO) is a restricted model of quantum computation which in its original form is known to be efficiently classically simulable. We show that, when initialized with suitable input states, FLO circuits can be used to demonstrate quantum computational advantage with strong hardness guarantees. Based on this, we propose a quantum advantage scheme which is a fermionic analogue of Boson Sampling: Fermion Sampling with magic input states.