Alexander Del Toro Barba
A5050097929- Quantum Computing Algorithms and Architecture
- Quantum many-body systems
- Quantum Information and Cryptography
- Advancements in Semiconductor Devices and Circuit Design
- Quantum and electron transport phenomena
- Neural Networks and Reservoir Computing
- Neural Networks and Applications
- Quantum Mechanics and Applications
- Theoretical and Computational Physics
- Semiconductor materials and devices
- Topological and Geometric Data Analysis
- Quantum optics and atomic interactions
- Ultrasonics and Acoustic Wave Propagation
- Non-Destructive Testing Techniques
- Cold Atom Physics and Bose-Einstein Condensates
- Commutative Algebra and Its Applications
- Computational Geometry and Mesh Generation
- Digital Image Processing Techniques
- Quantum, superfluid, helium dynamics
- Homotopy and Cohomology in Algebraic Topology
- Mechanical and Optical Resonators
- Physics of Superconductivity and Magnetism
- Photonic Crystals and Applications
- Random lasers and scattering media
- Algebraic structures and combinatorial models
Google (United States)
2022-2025
Abstract Practical quantum computing will require error rates well below those achievable with physical qubits. Quantum correction 1,2 offers a path to algorithmically relevant by encoding logical qubits within many qubits, for which increasing the number of enhances protection against errors. However, introducing more also increases sources, so density errors must be sufficiently low performance improve code size. Here we report measurement qubit scaling across several sizes, and...
Indistinguishability of particles is a fundamental principle quantum mechanics
Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin one-dimensional Heisenberg model were conjectured as to belong Kardar-Parisi-Zhang (KPZ) universality class based on scaling infinite-temperature spin-spin correlation function. a chain 46 superconducting qubits, we studied probability distribution magnetization transferred across chain's center, [Formula: see text]. The first two moments text] show superdiffusive...
Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for simulation of high-temperature superconductivity or magnetism. Using up 49 superconducting qubits, we prepared low-energy transverse-field Ising model through coupling auxiliary qubits. In one dimension, observed long-range correlations and a ground-state fidelity 0.86 18 qubits at critical point. two dimensions, found mutual information that extends beyond...
Undesired coupling to the surrounding environment destroys long-range correlations in quantum processors and hinders coherent evolution nominally available computational space. This noise is an outstanding challenge when leveraging computation power of near-term
Abstract Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators 1,2 . Unlocking the full potential such systems towards this goal requires flexible initial state preparation, precise time evolution and extensive probes for final characterization. Here we present simulator comprising 69 superconducting qubits that supports both universal gates high-fidelity analogue evolution, with performance beyond reach classical simulation in...
Systems of correlated particles appear in many fields modern science and represent some the most intractable computational problems nature. The challenge these systems arises when interactions become comparable to other energy scales, which makes state each particle depend on all particles1. lack general solutions for three-body problem acceptable theory strongly electrons shows that our understanding fades number or interaction strength increases. One hallmarks interacting is formation...
Undesired coupling to the surrounding environment destroys long-range correlations on quantum processors and hinders coherent evolution in nominally available computational space. This incoherent noise is an outstanding challenge fully leverage computation power of near-term processors. It has been shown that benchmarking Random Circuit Sampling (RCS) with Cross-Entropy Benchmarking (XEB) can provide a reliable estimate effective size Hilbert space coherently available. The extent which...
Lloyd [Nat. Commun. , 10138 (2016)] were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way characterize topological features data sets. Here, we propose, analyze, and optimize an improved algorithm analysis (TDA) with reduced scaling, including method preparing Dicke states based on inequality testing, more efficient amplitude estimation using Kaiser windows, optimal implementation eigenvalue projectors Chebyshev polynomials. We compile our approach...
Practical quantum computing will require error rates that are well below what is achievable with physical qubits. Quantum correction offers a path to algorithmically-relevant by encoding logical qubits within many qubits, where increasing the number of enhances protection against errors. However, introducing more also increases sources, so density errors must be sufficiently low in order for performance improve code size. Here, we report measurement qubit scaling across multiple sizes, and...
Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for simulation of high-temperature superconductivity or magnetism. Using up 49 superconducting qubits, we prepared low-energy transverse-field Ising model through coupling auxiliary qubits. In one dimension, observed long-range correlations and a ground-state fidelity 0.86 18 qubits at critical point. two dimensions, found mutual information that extends beyond...
Lloyd et al. were first to demonstrate the promise of quantum algorithms for computing Betti numbers, a way characterize topological features data sets. Here, we propose, analyze, and optimize an improved algorithm analysis (TDA) with reduced scaling, including method preparing Dicke states based on inequality testing, more efficient amplitude estimation using Kaiser windows, optimal implementation eigenvalue projectors Chebyshev polynomials. We compile our approach fault-tolerant gate set...
Abstract Measurement has a special role in quantum theory 1 : by collapsing the wavefunction it can enable phenomena such as teleportation 2 and thereby alter "arrow of time" that constrains unitary evolution. When integrated many-body dynamics, measurements lead to emergent patterns information space-time 3-10 go beyond established paradigms for characterizing phases, either or out equilibrium 11-13 . On present-day NISQ processors 14 , experimental realization this physics is challenging...
Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential such systems toward this goal requires flexible initial state preparation, precise time evolution, and extensive probes for final characterization. We present simulator comprising 69 superconducting qubits which supports both universal gates high-fidelity analog with performance beyond reach classical simulation in cross-entropy benchmarking...
Indistinguishability of particles is a fundamental principle quantum mechanics. For all elementary and quasiparticles observed to date - including fermions, bosons, Abelian anyons this guarantees that the braiding identical leaves system unchanged. However, in two spatial dimensions, an intriguing possibility exists: non-Abelian causes rotations space topologically degenerate wavefunctions. Hence, it can change observables without violating indistinguishability. Despite well developed...
Measurement has a special role in quantum theory: by collapsing the wavefunction it can enable phenomena such as teleportation and thereby alter "arrow of time" that constrains unitary evolution. When integrated many-body dynamics, measurements lead to emergent patterns information space-time go beyond established paradigms for characterizing phases, either or out equilibrium. On present-day NISQ processors, experimental realization this physics is challenging due noise, hardware...
Understanding universal aspects of quantum dynamics is an unresolved problem in statistical mechanics. In particular, the spin 1D Heisenberg model were conjectured to belong Kardar-Parisi-Zhang (KPZ) universality class based on scaling infinite-temperature spin-spin correlation function. a chain 46 superconducting qubits, we study probability distribution, $P(\mathcal{M})$, magnetization transferred across chain's center. The first two moments $P(\mathcal{M})$ show superdiffusive behavior,...
One of the most challenging problems in computational study localization quantum manybody systems is to capture effects rare events, which requires sampling over exponentially many disorder realizations. We implement an efficient procedure on a processor, leveraging parallelism, efficiently sample all observe without many-body dynamics one and two dimensions: perturbations do not diffuse even though both generator evolution initial states are fully translationally invariant. The strength as...
A remarkable characteristic of quantum computing is the potential for reliable computation despite faulty qubits. This can be achieved through error correction, which typically implemented by repeatedly applying static syndrome checks, permitting correction logical information. Recently, development time-dynamic approaches to has uncovered new codes and code implementations. In this work, we experimentally demonstrate three implementations surface code, each offering a unique solution...
Abstract An important measure of the development quantum computing platforms has been simulation increasingly complex physical systems [1–3]. Prior to fault-tolerant computing, robust error mitigation strategies are necessary continue this growth [4–11]. Here, we study within seniority-zero electron pairing subspace, which affords both a computational stepping stone fully correlated model [12–17], and an opportunity validate recently introduced “purification-based” error-mitigation [8–10]....