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View article: Interferometric single-shot parity measurement in InAs–Al hybrid devices
Interferometric single-shot parity measurement in InAs–Al hybrid devices Open
The fusion of non-Abelian anyons is a fundamental operation in measurement-only topological quantum computation1. In one-dimensional topological superconductors (1DTSs)2-4, fusion amounts to a determination of the shared fermion parity of …
View article: Predictive simulations of the dynamical response of mesoscopic devices
Predictive simulations of the dynamical response of mesoscopic devices Open
As the complexity of mesoscopic quantum devices increases, simulations are becoming an invaluable tool for understanding their behavior. This is especially true for the superconductor-semiconductor heterostructures used to build Majorana-b…
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: 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: Simulating adiabatic quantum computation with a variational approach
Simulating adiabatic quantum computation with a variational approach Open
The theoretical analysis of the Adiabatic Quantum Computation protocol presents several challenges resulting from the difficulty of simulating, with classical resources, the unitary dynamics of a large quantum device. We present here a var…
View article: Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device
Interferometric Single-Shot Parity Measurement in an InAs-Al Hybrid Device Open
The fusion of non-Abelian anyons or topological defects is a fundamental operation in measurement-only topological quantum computation. In topological superconductors, this operation amounts to a determination of the shared fermion parity …
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: InAs-Al hybrid devices passing the topological gap protocol
InAs-Al hybrid devices passing the topological gap protocol Open
Topological phases of matter can enable highly stable qubits with small footprints, fast gate times, and digital control. These hardware-protected qubits must be fabricated with a material combination in which a topological phase can relia…
View article: Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements
Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements Open
We address entanglement transitions in monitored random quantum circuits of non-interacting fermions, in particular, the question of whether Born-rule and forced measurements yield the same universality class. For a generic circuit with no…
View article: Performance of Planar Floquet Codes with Majorana-Based Qubits
Performance of Planar Floquet Codes with Majorana-Based Qubits Open
Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation. The surface code and its variants have been considered the most promising quantum error correction scheme due to their hi…
View article: InAs-Al Hybrid Devices Passing the Topological Gap Protocol
InAs-Al Hybrid Devices Passing the Topological Gap Protocol Open
We present measurements and simulations of semiconductor-superconductor heterostructure devices that are consistent with the observation of topological superconductivity and Majorana zero modes. The devices are fabricated from high-mobilit…
View article: Linear-time generalized Hartree-Fock algorithm for quasi-one-dimensional systems
Linear-time generalized Hartree-Fock algorithm for quasi-one-dimensional systems Open
In many approximate approaches to fermionic quantum many-body systems, such as Hartree-Fock and density functional theory, solving a system of noninteracting fermions coupled to some effective potential is the computational bottleneck. In …
View article: Performance of planar Floquet codes with Majorana-based qubits
Performance of planar Floquet codes with Majorana-based qubits Open
Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation. The surface code and its variants have been considered the most promising quantum error correction scheme due to their hi…
View article: Linear-time generalized Hartree-Fock algorithm for quasi-one-dimensional systems
Linear-time generalized Hartree-Fock algorithm for quasi-one-dimensional systems Open
In many approximate approaches to fermionic quantum many-body systems, such as Hartree-Fock and density functional theory, solving a system of non-interacting fermions coupled to some effective potential is the computational bottleneck. In…
View article: Quantum impurity models using superpositions of fermionic Gaussian states: Practical methods and applications
Quantum impurity models using superpositions of fermionic Gaussian states: Practical methods and applications Open
The coherent superposition of nonorthogonal fermionic Gaussian states has been shown to be an efficient approximation to the ground states of quantum impurity problems [Bravyi and Gosset, Commun. Math. Phys. 356, 451 (2017)CMPHAY0010-36161…
View article: Criticality and entanglement in non-unitary quantum circuits and tensor networks of non-interacting fermions
Criticality and entanglement in non-unitary quantum circuits and tensor networks of non-interacting fermions Open
Models for non-unitary quantum dynamics, such as quantum circuits that include projective measurements, have been shown to exhibit rich quantum critical behavior. There are many complementary perspectives on this behavior. For example, the…
View article: Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited
Efficient matrix-product-state preparation of highly entangled trial states: Weak Mott insulators on the triangular lattice revisited Open
Using tensor network states to unravel the physics of quantum spin liquids in minimal, yet generic microscopic spin or electronic models remains notoriously challenging. A prominent open question concerns the nature of the insulating groun…
View article: Emergent Fermi Surface in a Triangular-Lattice SU(4) Quantum Antiferromagnet
Emergent Fermi Surface in a Triangular-Lattice SU(4) Quantum Antiferromagnet Open
Motivated by multiple possible physical realizations, we study the SU(4) quantum antiferromagnet with a fundamental representation on each site of the triangular lattice. We provide evidence for a gapless liquid ground state of this system…
View article: Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev Open
Topological quantum computation encodes quantum information nonlocally by nucleating non-Abelian anyons separated by distances L, typically spanning the qubit device size. This nonlocality renders topological qubits exponentially immune to…
View article: Report on 1909.03002v3
Report on 1909.03002v3 Open
One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of phy…
View article: Matrix product state algorithms for Gaussian fermionic states
Matrix product state algorithms for Gaussian fermionic states Open
While general quantum many-body systems require exponential resources to be\nsimulated on a classical computer, systems of non-interacting fermions can be\nsimulated exactly using polynomially scaling resources. Such systems may be of\nint…
View article: Report on 1909.03002v3
Report on 1909.03002v3 Open
One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of phy…
View article: Suppressing quasiparticle poisoning with a voltage-controlled filter
Suppressing quasiparticle poisoning with a voltage-controlled filter Open
We study single-electron charging events in an Al/InAs nanowire hybrid system with deliberately introduced gapless regions. The occupancy of a Coulomb island is detected using a nearby radio-frequency quantum dot as a charge sensor. We dem…
View article: Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes
Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes Open
One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of phy…
View article: Report on scipost_201906_00002v1
Report on scipost_201906_00002v1 Open
We study nanowire-based Josephson junctions shunted by a capacitor and take into account the presence of low-energy quasiparticle excitations.These are treated by extending conventional models used to describe superconducting qubits to inc…
View article: Topologically protected braiding in a single wire using Floquet Majorana modes
Topologically protected braiding in a single wire using Floquet Majorana modes Open
Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally …
View article: Symmetry-protected non-Fermi liquids, kagome spin liquids, and the chiral Kondo lattice model
Symmetry-protected non-Fermi liquids, kagome spin liquids, and the chiral Kondo lattice model Open
The theoretical description of non-Fermi liquids is among the most challenging questions in strongly correlated quantum matter. While there are many experimental candidates for such phases, few examples can be studied using controlled theo…
View article: Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet Open
The search for exotic quantum spin liquid states in simple yet realistic spin models remains a central challenge in the field of frustrated quantum magnetism. Here we consider the canonical nearest-neighbor kagome Heisenberg antiferromagne…
View article: Neural-network states for the classical simulation of quantum computing
Neural-network states for the classical simulation of quantum computing Open
Simulating quantum algorithms with classical resources generally requires exponential resources. However, heuristic classical approaches are often very efficient in approximately simulating special circuit structures, for example with limi…
View article: Report on 1803.05451v1
Report on 1803.05451v1 Open
We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire.By performing time-dependent simulations of microscopic lattice models, we show that diabatic correc…