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Quantum · Reference

Quantum Index

The structured reference behind the quantum desk: qubit approaches, companies, software, algorithms and applications, searchable, each with a source on the card.

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15 Oct 2026
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Every entry in the Index

86 entries · from qubits to use cases, with a source on every card

Qubit technologies / hardware approachesOn 9 October, IonQ announced an experimental link between a trapped barium ion and a silicon-vacancy quantum memory. The paper reports entanglement generation at about 1,030 entangled pairs per second, with 87.9% fidelity, a measure of how closely the shared state matches the intended state. This processor-memory experiment is a step towards connecting separate quantum systems.14
  • Superconducting Qubits

    Circuit-based gate-model qubits

    A mature solid-state architecture used by IBM, Google, and Rigetti, prized for fast gates and scalable microfabrication.

    Our guide →nature.com ↗
  • Transmon Qubits

    Noise-suppressed superconducting qubits

    The transmon became the workhorse of modern superconducting systems by sharply reducing charge-noise sensitivity.

    arxiv.org ↗
  • Flux Qubits

    Persistent-current superconducting qubits

    Flux qubits encode states in circulating currents and remain important in tunable circuit design and coherence engineering.

    nature.com ↗
  • Phase Qubits

    Historically important Josephson-junction qubits

    Phase qubits helped establish many early superconducting control, measurement, and quantum-circuit integration techniques.

    web.physics.ucsb.edu ↗
  • Trapped-Ion Qubits

    Atomic ions controlled with lasers

    Trapped ions are known for excellent fidelities, all-to-all connectivity, and highly precise gate operations.

    Our guide →pubs.aip.org ↗
  • Neutral-Atom Qubits

    Programmable atom-array qubits

    Laser-trapped neutral atoms offer flexible connectivity and strong scaling potential for simulation, optimisation, and fault tolerance.

    Our guide →quantum-journal.org ↗
  • Photonic Qubits

    Light-based quantum information processing

    Photonic systems are attractive for modularity and networking, with integrated optical chips increasingly targeting fault-tolerant scale.

    Our guide →nature.com ↗
  • Silicon Spin Qubits

    Semiconductor spin-based architecture

    Silicon spin qubits aim to exploit advanced chip manufacturing, dense integration, and compatibility with classical electronics.

    Our guide →nature.com ↗
  • Quantum Dot Qubits

    Electron states confined in nanostructures

    Quantum-dot qubits continue to improve in silicon, with higher fidelities and stronger prospects for industrial fabrication.

    Our guide →nature.com ↗
  • NV Centre Diamond Qubits

    Diamond defect qubits with optical interfaces

    NV centres remain especially interesting for sensing, networking, and specialised solid-state quantum hardware.

    pmc.ncbi.nlm.nih.gov ↗
  • Topological Qubits

    Noise-resilient topological route

    A theoretically appealing approach that aims to protect quantum information through topological properties rather than ordinary local states.

    Our guide →arxiv.org ↗
  • Majorana Qubits

    Majorana-based topological qubit concept

    A Majorana route to topological quantum computing built around exotic quasiparticles and potentially protected operations.

    Our guide →nature.com ↗
  • Cat Qubits

    Error-biased bosonic qubits

    Cat qubits are engineered to suppress bit-flip errors and reduce some of the overhead needed for fault tolerance.

    Our guide →alice-bob.com ↗
  • Bosonic Qubits

    Oscillator-encoded logical states

    Bosonic qubits store information in richer quantum states and are becoming increasingly important in error-correction research.

    link.aps.org ↗
Major hardware companies / full-stack playersIonQ priced a $2bn equity offering on 14 October. The announcement covers the proposed securities and pricing; it is separate from confirmation of closing or a reported cash balance.16
  • IBM Quantum

    Roadmap-led superconducting quantum stack

    IBM's roadmap targets scientific quantum advantage and a fault-tolerant module in 2026: on 30 July it and three partners published the first validated advantage claims, and on 26 August it completed its acquisition of HRL Laboratories, the Boeing-GM venture known for silicon-spin qubits.

    Our guide →ibm.com ↗
  • Google Quantum AI

    Willow-centred superconducting programme

    Google’s latest hardware push centres on Willow and a longer-term path to large-scale error-corrected superconducting systems.

    Our guide →blog.google ↗
  • Microsoft Quantum

    Topological-first quantum architecture

    Microsoft’s Majorana 2 programme, announced in June 2026, develops its topological approach. Company-reported measurements and DARPA evaluation are separate forms of evidence.

    Our guide →news.microsoft.com ↗
  • IonQ

    Commercial trapped-ion hardware

    IonQ develops trapped-ion systems. Its newest Superion generation includes a 256-physical-qubit machine planned for 2027 delivery; planned capacity and delivered hardware remain distinct.

    Our guide →ionq.com ↗
  • Quantinuum

    High-fidelity trapped-ion systems

    Quantinuum’s Helios is its latest-generation trapped-ion system. Research and training agreements, including UWA’s October agreement, provide remote access.

    Our guide →quantinuum.com ↗
  • Rigetti Computing

    Superconducting modular hardware

    Rigetti offers the 108-qubit Cepheus-1-108Q on Amazon Braket. Whole-system performance and individual-chiplet gate measurements describe different scopes.

    Our guide →rigetti.com ↗
  • D-Wave Quantum

    Annealing leader with dual-platform push

    D-Wave remains the commercial standard-bearer for annealing while also accelerating a gate-model roadmap.

    Our guide →dwavequantum.com ↗
  • Xanadu

    Photonic hardware and software company

    Xanadu is building a modular photonic architecture and pairing it with the PennyLane developer ecosystem; on 28 August it signed a CAD $195m investment agreement with the Government of Canada, the federal anchor of Project OPTIMISM, a CAD $893m advanced photonics facility in Toronto.

    Our guide →xanadu.ai ↗
  • PsiQuantum

    Utility-scale photonic ambition

    PsiQuantum's Omega chipset is presented as a manufacturable photonic building block for utility-scale systems, and a $125m DARPA Quantum Benchmarking Initiative award on 22 July is its largest US government contract yet.

    Our guide →psiquantum.com ↗
  • Pasqal

    Neutral-atom industrial roadmap

    Pasqal completed its business combination with Bleichroeder Acquisition Corp. II on 27 August 2026 and began trading on Nasdaq as PSQL the next day, with roughly $360m of cash at closing behind a roadmap aimed at fast deployment, industry-relevant advantage and a path toward digital fault tolerance.

    Our guide →pasqal.com ↗
  • QuEra Computing

    Neutral-atom path to logical qubits

    QuEra is advancing neutral-atom hardware with a roadmap focused on error correction and scalable logical qubits.

    Our guide →quera.com ↗
  • Atom Computing

    Large-scale neutral-atom platform

    Atom’s AC1000 pitches the ‘logical qubit era’ with 1,200+ physical qubits and on-premise deployment.

    Our guide →atom-computing.com ↗
  • IQM Quantum Computers

    HPC-oriented superconducting systems

    IQM’s Radiance systems target HPC integration, with 54-qubit and 150-qubit options for advanced computing centres.

    Our guide →meetiqm.com ↗
  • Oxford Quantum Circuits

    Enterprise-ready superconducting platform

    OQC’s Toshiko is a 32-qubit enterprise-ready superconducting platform already deployed in datacentre environments.

    oqc.tech ↗
  • Alice & Bob

    Cat-qubit hardware specialist

    Alice & Bob is developing cat-qubit hardware designed to reduce the correction overhead needed for useful machines.

    alice-bob.com ↗
  • Infleqtion

    Neutral-atom systems and logical-qubit roadmap

    Infleqtion delivered the UK’s only operational 100-physical-qubit quantum computer at the NQCC, and contributed to the quantum processing unit of Japan’s Shunkai neutral-atom machine, operational at the Institute for Molecular Science since 24 August 2026.

    infleqtion.com ↗
Software / cloud / developer platformsIBM announced directed execution on 5 October, giving developers more control over how quantum jobs run. Its 6 October Qiskit guide also explains native Fortran, C++ and Julia access through the existing C interface. Quantinuum’s UWA agreement provides remote Helios access for research and training.11
  • Amazon Braket

    Managed access to multiple quantum backends

    AWS Braket gives developers a unified cloud environment for real QPUs, simulators, and hybrid quantum-classical workflows.

    Our guide →aws.amazon.com ↗
  • Qiskit

    IBM’s core open-source SDK

    Qiskit remains one of the most important quantum software stacks for circuits, transpilation, runtime, and utility-scale workflows; its Functions catalogue added Orbit, an automated error-suppression tool, on 25 July.

    ibm.com ↗
  • Cirq

    Google’s hardware-aware circuit framework

    Cirq is built for circuit construction, simulation, and optimisation with a strong focus on real gate-model devices.

    quantumai.google ↗
  • Azure Quantum

    Microsoft’s cloud quantum stack

    Azure Quantum combines developer tools, partner hardware access, Q#, and resource-estimation capabilities in one platform.

    learn.microsoft.com ↗
  • PennyLane

    Differentiable quantum programming framework

    PennyLane is a leading toolkit for quantum machine learning and hybrid differentiable quantum-classical workflows.

    pennylane.ai ↗
  • CUDA-Q

    NVIDIA’s hybrid quantum platform

    CUDA-Q is designed for quantum-classical workflows spanning CPUs, GPUs, and QPUs in one programming model.

    Our guide →developer.nvidia.com ↗
  • Ocean SDK

    D-Wave’s optimisation toolkit

    Ocean is the main SDK for building annealing and hybrid optimisation workflows on D-Wave systems.

    docs.dwavequantum.com ↗
  • Q#

    Microsoft quantum programming language

    Q# is a high-level language aimed at future large-scale quantum programs as well as current experimentation and education.

    learn.microsoft.com ↗
  • Classiq

    High-level quantum algorithm design

    Classiq focuses on functional modelling and automatic synthesis of hardware-aware quantum circuits.

    classiq.io ↗
  • Quantum Inspire

    Multi-hardware training and R&D platform

    Quantum Inspire serves as a learning, testing, and collaborative development platform across several hardware types.

    quantum-inspire.com ↗
  • Strangeworks

    Unified ecosystem access layer

    Strangeworks offers a business-facing platform that blends quantum, quantum-inspired, HPC, and classical resources.

    strangeworks.com ↗
Control / infrastructure / networkingOn 9 October, IonQ announced an experimental link between a trapped barium ion and a silicon-vacancy quantum memory. The paper reports entanglement generation at about 1,030 entangled pairs per second, with 87.9% fidelity, a measure of how closely the shared state matches the intended state. This processor-memory experiment is a step towards connecting separate quantum systems.11
  • Q-CTRL Fire Opal

    Automated error suppression layer

    Fire Opal is designed to improve real-hardware results by automatically applying control and suppression techniques.

    q-ctrl.com ↗
  • Riverlane

    Quantum error-correction stack

    Riverlane is focused on the real-time QEC layer needed to push quantum hardware toward utility-scale operation.

    riverlane.com ↗
  • Quantum Machines OPX1000

    Hybrid control platform for QPUs

    OPX1000 brings classical control close to qubits for real-time feedback, adaptive protocols, and faster system iteration.

    quantum-machines.co ↗
  • SEEQC

    Digital quantum architecture

    SEEQC is pushing a digital chip-based architecture that integrates classical and quantum functions more tightly.

    seeqc.com ↗
  • Keysight Quantum Engineering

    Test, simulation, and control infrastructure

    Keysight is increasingly important in large control deployments and system-level design and validation for quantum hardware.

    keysight.com ↗
  • Zurich Instruments ZQCS

    Long-lived logical-qubit control system

    ZQCS is Zurich’s new control stack designed for thousand-qubit-scale systems and real-time logical-qubit operation.

    zhinst.com ↗
  • Bluefors Modular Cryogenic Platform

    Cryogenic backbone for scaling quantum hardware

    Bluefors is extending its core cryogenic role with a modular platform aimed at much larger quantum deployments.

    bluefors.com ↗
  • QuantWare VIO-40K

    10,000-qubit scaling architecture

    QuantWare’s VIO-40K is pitched as a 3D architecture for building much larger superconducting QPUs in a single cryostat.

    quantware.com ↗
  • AliroNet

    Entanglement-based quantum networking stack

    AliroNet is a full-stack platform for designing, operating, and visualising quantum networks and entanglement distribution.

    aliroquantum.com ↗
  • Quantum Circuits

    Dual-rail qubits with built-in error detection

    Quantum Circuits is developing dual-rail superconducting qubits designed around error awareness and real-time control.

    quantumcircuits.com ↗
  • Atlantic Quantum

    Highly integrated superconducting hardware team

    Atlantic Quantum is now part of Google Quantum AI, adding modular cold-stage integration expertise to Google’s hardware effort.

    blog.google ↗
Algorithms / core methodsIonQ estimates that a future quantum computer with 19,397 physical qubits could attack the cryptography used by Bitcoin in 25.7 days. This is a calculation for a proposed fault-tolerant machine; today’s devices remain far smaller.12
  • Shor’s Algorithm

    Factorisation via quantum order finding

    The classic algorithm showing why large fault-tolerant quantum computers pose such a threat to modern cryptography.

    Our guide →quantum.cloud.ibm.com ↗
  • Grover’s Algorithm

    Quadratic speedup for search

    A foundational search algorithm that amplifies marked states faster than classical unstructured search.

    Our guide →quantum.cloud.ibm.com ↗
  • Quantum Phase Estimation

    Eigenphase extraction subroutine

    QPE is a central building block for several major algorithms, including factoring and quantum simulation.

    quantum.cloud.ibm.com ↗
  • Variational Quantum Eigensolver (VQE)

    Hybrid energy-estimation method

    VQE remains one of the most important near-term approaches for chemistry and many-body energy problems.

    quantum.cloud.ibm.com ↗
  • Quantum Approximate Optimisation Algorithm (QAOA)

    Hybrid combinatorial optimisation method

    QAOA is a flagship variational approach for optimisation problems on near-term gate-model systems.

    quantum.cloud.ibm.com ↗
  • Quantum Fourier Transform

    Core basis-transformation primitive

    QFT is a central quantum subroutine used in phase estimation and several other major algorithms.

    quantum.cloud.ibm.com ↗
  • Amplitude Amplification

    Generalisation of Grover-style speedup

    Amplitude amplification boosts the probability of desired states and sits behind a broader class of quantum search methods.

    pennylane.ai ↗
  • Quantum Annealing

    Optimisation through energy minimisation

    Quantum annealing is best known through D-Wave and is aimed at hard combinatorial optimisation problems.

    docs.dwavequantum.com ↗
  • Adiabatic Quantum Computing

    Continuous-evolution quantum model

    AQC is a distinct computational model in which solutions are reached through gradual Hamiltonian evolution.

    cl.cam.ac.uk ↗
  • Hybrid Quantum-Classical Algorithms

    Classical optimisation around quantum subroutines

    Most near-term practical quantum workflows are hybrid, using classical compute to guide or refine quantum execution.

    developer.nvidia.com ↗
  • Quantum Simulation

    Native modelling of quantum systems

    Simulation is one of the clearest reasons quantum computers could eventually outperform classical machines.

    quantum.cloud.ibm.com ↗
  • Quantum Machine Learning

    ML workflows with quantum subroutines

    QML explores how quantum kernels, variational circuits, and hybrid models might enhance selected learning tasks.

    quantum.cloud.ibm.com ↗
Engineering / benchmarks / fault toleranceGoogle’s 8 October preprint studies virtual error cancellation using stored error-detection records and classical post-processing. Simulations of a surface-code error-correction scheme show more than three orders of magnitude suppression of logical errors in the tested setting. This is a numerical research result.10
  • Quantum Error Correction

    Correcting errors faster than they accumulate

    QEC is the core engineering challenge that must be solved before large, reliable quantum computation becomes practical.

    Our guide →riverlane.com ↗
  • Fault-Tolerant Quantum Computing

    Reliable logical computation at scale

    Fault tolerance is the threshold where long, meaningful quantum computations become robust enough to deliver useful results.

    Our guide →ibm.com ↗
  • Logical Qubits

    Protected qubits built from many physical qubits

    Logical qubits are the main stepping stone from fragile laboratory devices to truly useful quantum computers.

    Our guide →blogs.microsoft.com ↗
  • Physical Qubits

    Raw hardware qubits underlying all systems

    Physical qubits are the native building blocks whose quality ultimately determines how good logical qubits can become.

    Our guide →originqc.com ↗
  • Quantum Volume

    Composite benchmark for usable performance

    Quantum Volume tries to capture more than qubit count by incorporating fidelity, connectivity, and executable circuit depth.

    quantinuum.com ↗
  • Gate Fidelity

    Accuracy of quantum operations

    Gate fidelity is one of the clearest low-level indicators of whether a processor can execute meaningful circuits reliably.

    qir.mit.edu ↗
  • Decoherence Mitigation

    Reducing the impact of hardware noise

    Decoherence mitigation and suppression remain essential tools for getting better results from noisy hardware.

    quantum.cloud.ibm.com ↗
  • Transpilation

    Adapting circuits to real devices

    Transpilation rewrites abstract circuits to match a target machine’s topology, gate set, and performance constraints.

    quantum.cloud.ibm.com ↗
  • Quantum Compilation

    From high-level program to executable circuit

    Compilation covers decomposition, routing, optimisation, scheduling, and other steps needed to turn code into hardware-ready instructions.

    quera.com ↗
  • Resource Estimation

    Estimating qubits, runtime, and overhead

    Resource estimation helps teams understand how different qubit technologies and QEC schemes affect future practical cost.

    learn.microsoft.com ↗
Applications / science / industrial use casesInfleqtion announced £9m of Innovate UK funding on 13 October for phase two of QuDiFi with Leonardo. The project develops a deployable radio-frequency direction-finding system using Rydberg atoms.12
  • Quantum Chemistry

    Electronic-structure and reaction modelling

    Quantum chemistry remains one of the strongest long-term use cases because molecules are naturally quantum systems.

    quantinuum.com ↗
  • Drug Discovery

    Molecular design and pharma workflows

    Drug discovery is often framed as a future beneficiary of improved quantum chemistry and reaction-path modelling.

    quantinuum.com ↗
  • Materials Discovery

    New catalysts, batteries, and compounds

    Materials discovery is a flagship quantum application area, especially where classical simulation becomes prohibitively hard.

    research.ibm.com ↗
  • Logistics Optimisation

    Routing, scheduling, and planning

    Logistics is one of the clearest near-term commercial targets for annealing and hybrid quantum optimisation.

    dwavequantum.com ↗
  • Financial Modelling

    Risk, pricing, and financial analytics

    Finance remains a major experimental use case for optimisation, uncertainty analysis, and algorithmic modelling.

    research.ibm.com ↗
  • Portfolio Optimisation

    Asset allocation and trading strategy

    Portfolio optimisation is a natural fit for early quantum finance experiments because of its combinatorial structure.

    ibm.com ↗
  • Energy Grid Optimisation

    Grid resilience and operational efficiency

    Energy-grid optimisation is emerging as a serious applied target for quantum-enhanced optimisation methods.

    infleqtion.com ↗
  • Climate & Earth Modelling

    Long-horizon physical system modelling

    Climate modelling is still exploratory, but quantum methods are increasingly discussed as future accelerants for complex simulations.

    meetiqm.com ↗
  • Cryptography Research

    Why quantum threatens RSA-era security

    Cryptography research remains central because quantum algorithms could eventually break some widely used public-key schemes.

    Our guide →quantum.cloud.ibm.com ↗
  • Post-Quantum Security

    Preparing systems for quantum-safe migration

    Post-quantum readiness is now a live commercial issue even before large fault-tolerant quantum computers arrive.

    Our guide →quantinuum.com ↗
  • AI / Quantum Machine Learning

    Quantum subroutines inside ML workflows

    This area explores whether quantum kernels, circuits, and hybrid models can improve selected machine-learning tasks.

    quantum.cloud.ibm.com ↗
  • Supply-Chain Optimisation

    Production-grade operational optimisation

    Supply-chain optimisation is one of the few areas already generating concrete production-style case studies in quantum computing.

    dwavequantum.com ↗