David Aasen
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View article: A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes Open
Topological quantum codes are intrinsically fault-tolerant to local noise, and underlie the theory of topological phases of matter. We explore geometry to enhance the performance of topological quantum codes by rotating the four dimensiona…
View article: Repeated ancilla reuse for logical computation on a neutral atom quantum computer
Repeated ancilla reuse for logical computation on a neutral atom quantum computer Open
Quantum processors based on neutral atoms trapped in arrays of optical tweezers have appealing properties, including relatively easy qubit number scaling and the ability to engineer arbitrary gate connectivity with atom movement. However, …
View article: Geometrically Enhanced Topological Quantum Codes
Geometrically Enhanced Topological Quantum Codes Open
We consider geometric methods of ``rotating" the toric code in higher dimensions to reduce the qubit count. These geometric methods can be used to prepare higher dimensional toric code states using single shot techniques, and in turn these…
View article: Roadmap to fault tolerant quantum computation using topological qubit arrays
Roadmap to fault tolerant quantum computation using topological qubit arrays Open
We describe a concrete device roadmap towards a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits. Our roadmap encompasses four generations of devices: a single-qubit devi…
View article: Fault-tolerant quantum computation with a neutral atom processor
Fault-tolerant quantum computation with a neutral atom processor Open
Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical …
View article: A fault-tolerant pairwise measurement-based code on eight qubits
A fault-tolerant pairwise measurement-based code on eight qubits Open
We construct a pairwise measurement-based code on eight qubits that is error correcting for circuit noise, with fault distance 3. The code can be implemented on a subset of a rectangular array of qubits with nearest neighbor connectivity o…
View article: Demonstration of quantum computation and error correction with a tesseract code
Demonstration of quantum computation and error correction with a tesseract code Open
A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits. The tesseract subsystem color code protects four logical qubits in 16 physical qubits, to distance fou…
View article: Quantum computation from dynamic automorphism codes
Quantum computation from dynamic automorphism codes Open
We propose a new model of quantum computation comprised of low-weight measurement sequences that simultaneously encode logical information, enable error correction, and apply logical gates. These measurement sequences constitute a new clas…
View article: Improved Pairwise Measurement-Based Surface Code
Improved Pairwise Measurement-Based Surface Code Open
We devise a new realization of the surface code on a rectangular lattice of qubits utilizing single-qubit and nearest-neighbor two-qubit Pauli measurements and three auxiliary qubits per plaquette. This realization gains substantial advant…
View article: Improved Pairwise Measurement-Based Surface Code
Improved Pairwise Measurement-Based Surface Code Open
We devise a new realization of the surface code on a rectangular lattice of qubits utilizing single-qubit and nearest-neighbor two-qubit Pauli measurements and three auxiliary qubits per plaquette. This realization gains substantial advant…
View article: Quantum computation from dynamic automorphism codes
Quantum computation from dynamic automorphism codes Open
We propose a new model of quantum computation comprised of low-weight measurement sequences that simultaneously encode logical information, enable error correction, and apply logical gates. These measurement sequences constitute a new clas…
View article: Fault-Tolerant Hastings-Haah Codes in the Presence of Dead Qubits
Fault-Tolerant Hastings-Haah Codes in the Presence of Dead Qubits Open
We develop protocols for Hastings-Haah Floquet codes in the presence of dead qubits.
View article: Measurement Quantum Cellular Automata and Anomalies in Floquet Codes
Measurement Quantum Cellular Automata and Anomalies in Floquet Codes Open
We investigate the evolution of quantum information under Pauli measurement circuits. We focus on the case of one- and two-dimensional systems, which are relevant to the recently introduced Floquet topological codes. We define local revers…
View article: The X-Cube Floquet Code
The X-Cube Floquet Code Open
Inspired by the coupled-layer construction of the X-Cube model, we introduce the X-Cube Floquet code, a dynamical quantum error-correcting code where the number of encoded logical qubits grows with system size. The X-Cube Floquet code is d…
View article: Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays Open
Arrays of Rydberg atoms constitute a highly tunable, strongly interacting venue for the pursuit of exotic states of matter. We develop a new strategy for accessing a family of fractionalized phases known as quantum spin liquids in two-dime…
View article: Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes
Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes Open
The recent "honeycomb code" is a fault-tolerant quantum memory defined by a sequence of checks which implements a nontrivial automorphism of the toric code. We argue that a general framework to understand this code is to consider continuou…
View article: Microscopic characterization of Ising conformal field theory in Rydberg chains
Microscopic characterization of Ising conformal field theory in Rydberg chains Open
Rydberg chains provide an appealing platform for probing conformal field theories (CFTs) that capture universal behavior in a myriad of physical settings. Focusing on a Rydberg chain at the Ising transition separating charge density wave a…
View article: Spin chains, defects, and quantum wires for the quantum-double edge
Spin chains, defects, and quantum wires for the quantum-double edge Open
Non-Abelian defects that bind Majorana or parafermion zero modes are prominent in several topological quantum computation schemes. Underpinning their established understanding is the quantum Ising spin chain, which can be recast as a fermi…
View article: Characterization and Classification of Fermionic Symmetry Enriched Topological Phases
Characterization and Classification of Fermionic Symmetry Enriched Topological Phases Open
We examine the interplay of symmetry and topological order in $2+1$ dimensional fermionic topological phases of matter. We define fermionic topological symmetries acting on the emergent topological effective theory described using braided …
View article: Characterization and Classification of Fermionic Symmetry Enriched\n Topological Phases
Characterization and Classification of Fermionic Symmetry Enriched\n Topological Phases Open
We examine the interplay of symmetry and topological order in $2+1$\ndimensional fermionic topological phases of matter. We define fermionic\ntopological symmetries acting on the emergent topological effective theory\ndescribed using braid…
View article: Torsorial actions on G-crossed braided tensor categories
Torsorial actions on G-crossed braided tensor categories Open
We develop a method for generating the complete set of basic data under the torsorial actions of $H^2_{[ρ]}(G,\mathcal{A})$ and $H^3(G,\text{U}(1))$ on a $G$-crossed braided tensor category $\mathcal{C}_G^\times$, where $\mathcal{A}$ is th…
View article: Time-Domain Anyon Interferometry in Kitaev Honeycomb Spin Liquids and Beyond
Time-Domain Anyon Interferometry in Kitaev Honeycomb Spin Liquids and Beyond Open
Motivated by recent experiments on the Kitaev honeycomb magnet $α\text{-RuCl}_3$, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids. Our scheme exploits ancillary quantum spins that communica…
View article: Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond
Time-domain anyon interferometry in Kitaev honeycomb spin liquids and beyond Open
Motivated by recent experiments on the Kitaev honeycomb magnet $\alpha\text{-RuCl}_3$, we introduce time-domain probes of the edge and quasiparticle content of non-Abelian spin liquids. Our scheme exploits ancillary quantum spins that comm…
View article: Topological Defects on the Lattice: Dualities and Degeneracies
Topological Defects on the Lattice: Dualities and Degeneracies Open
We construct topological defects in two-dimensional classical lattice models and quantum chains. The defects satisfy local commutation relations guaranteeing that the partition function is independent of their path. These relations and the…
View article: Report on 1812.01613v2
Report on 1812.01613v2 Open
Foliated fracton order is a qualitatively new kind of phase of matter.It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the …
View article: Report on 1812.01613v2
Report on 1812.01613v2 Open
Foliated fracton order is a qualitatively new kind of phase of matter.It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the …
View article: Interaction effects in superconductor/quantum spin Hall devices: Universal transport signatures and fractional Coulomb blockade
Interaction effects in superconductor/quantum spin Hall devices: Universal transport signatures and fractional Coulomb blockade Open
Interfacing s-wave superconductors and quantum spin Hall edges produces\ntime-reversal-invariant topological superconductivity of a type that can not\narise in strictly 1D systems. With the aim of establishing sharp fingerprints\nof this n…
View article: Topological defects on the lattice: I. The Ising model
Topological defects on the lattice: I. The Ising model Open
In this paper and its sequel, we construct topologically invariant defects in\ntwo-dimensional classical lattice models and quantum spin chains. We show how\ndefect lines commute with the transfer matrix/Hamiltonian when they obey the\ndef…
View article: Approaching a topological phase transition in Majorana nanowires
Approaching a topological phase transition in Majorana nanowires Open
Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We inve…