#QuantumErrorCorrection #QEC #LCL832 #TopologicalQuantum #KnotTheory #Liouvillian #QuantumComputing #StabilizerCodes #Vedanta #TatTvamAsi #QuantumPhysics #SurfaceCode #MathematicalPhysics #ElNoxRah #QuantumResearch #OpenScience #IndependentResearch #QuantumMath #Topology #Zenodo
April 4, 2026 at 7:04 AM
What if the five sheaths of Vedantic consciousness map exactly onto the five handles of a genus-5 topological surface?
T_min = 18. |J(3₁; e^{2πi/5})| = 1.543362. θ(k₁,k₂) = e^{2πik₁k₂/12}.
All verified.
Lessard 2026 · DOI: 10.5281/zenodo.19373406
#QEC #JonesPolynomial #TopologicalQuantum
T_min = 18. |J(3₁; e^{2πi/5})| = 1.543362. θ(k₁,k₂) = e^{2πik₁k₂/12}.
All verified.
Lessard 2026 · DOI: 10.5281/zenodo.19373406
#QEC #JonesPolynomial #TopologicalQuantum
April 5, 2026 at 2:04 AM
What if the five sheaths of Vedantic consciousness map exactly onto the five handles of a genus-5 topological surface?
T_min = 18. |J(3₁; e^{2πi/5})| = 1.543362. θ(k₁,k₂) = e^{2πik₁k₂/12}.
All verified.
Lessard 2026 · DOI: 10.5281/zenodo.19373406
#QEC #JonesPolynomial #TopologicalQuantum
T_min = 18. |J(3₁; e^{2πi/5})| = 1.543362. θ(k₁,k₂) = e^{2πik₁k₂/12}.
All verified.
Lessard 2026 · DOI: 10.5281/zenodo.19373406
#QEC #JonesPolynomial #TopologicalQuantum
DMRG study reveals Moore-Read non-Abelian chiral spin liquid in spin-1 antiferromagnet with quantized Chern number C=1 and SU(2)₂ CFT spectrum, promising for topological quantum computation.
#TopologicalQuantum #ChiralSpinLiquid #QuantumComputation
#TopologicalQuantum #ChiralSpinLiquid #QuantumComputation
Moore-Read Non-Abelian Chiral Spin Liquid in Spin-1 Square Lattice Model
arxiv.org
September 15, 2026 at 10:42 PM
DMRG study reveals Moore-Read non-Abelian chiral spin liquid in spin-1 antiferromagnet with quantized Chern number C=1 and SU(2)₂ CFT spectrum, promising for topological quantum computation.
#TopologicalQuantum #ChiralSpinLiquid #QuantumComputation
#TopologicalQuantum #ChiralSpinLiquid #QuantumComputation
The modular commutator remains a reliable topological probe in realistic quantum systems with approximate Markovianity, with derived quantitative bounds on conditional mutual information across spatial partitions.
#TopologicalQuantum #QuantumInfo #Research
#TopologicalQuantum #QuantumInfo #Research
Modular Commutator as Robust Topological Invariant Under Approximate Markovianity
arxiv.org
September 9, 2026 at 7:31 AM
The modular commutator remains a reliable topological probe in realistic quantum systems with approximate Markovianity, with derived quantitative bounds on conditional mutual information across spatial partitions.
#TopologicalQuantum #QuantumInfo #Research
#TopologicalQuantum #QuantumInfo #Research
Generalized quantum walks with variable step lengths reveal control over topologically protected edge states. Transfer-matrix analysis predicts spatial profiles and spin structures, enabling design of quantum systems with tunable boundary modes.
#TopologicalQuantum #QuantumWalks #Research
#TopologicalQuantum #QuantumWalks #Research
Topologically Protected Edge States in One-Dimensional Quantum Walks
arxiv.org
September 9, 2026 at 5:09 AM
Generalized quantum walks with variable step lengths reveal control over topologically protected edge states. Transfer-matrix analysis predicts spatial profiles and spin structures, enabling design of quantum systems with tunable boundary modes.
#TopologicalQuantum #QuantumWalks #Research
#TopologicalQuantum #QuantumWalks #Research
Topology fundamentally reshapes quantum dynamics: bulk systems follow established scaling laws, but topological edge modes exhibit anomalous behavior, challenging longstanding theories of quantum phase transitions and their universality.
#QuantumPhysics #TopologicalQuantum #QuantumCriticality
#QuantumPhysics #TopologicalQuantum #QuantumCriticality
Anomalous Scaling Discovered at Topological Quantum Critical Points
quantumzeitgeist.com
August 28, 2026 at 8:34 AM
Topology fundamentally reshapes quantum dynamics: bulk systems follow established scaling laws, but topological edge modes exhibit anomalous behavior, challenging longstanding theories of quantum phase transitions and their universality.
#QuantumPhysics #TopologicalQuantum #QuantumCriticality
#QuantumPhysics #TopologicalQuantum #QuantumCriticality
Developed SVD-based framework to characterize stable topological edge states in disordered non-Hermitian systems, overcoming spectral instability. Novel real-space topological invariant remains quantized despite structural disorder.
#TopologicalQuantum #NonHermitian #Research
#TopologicalQuantum #NonHermitian #Research
Point-Gap Topology in Amorphous Non-Hermitian Quantum Systems
iq.fp2.dev
August 11, 2026 at 8:43 AM
Developed SVD-based framework to characterize stable topological edge states in disordered non-Hermitian systems, overcoming spectral instability. Novel real-space topological invariant remains quantized despite structural disorder.
#TopologicalQuantum #NonHermitian #Research
#TopologicalQuantum #NonHermitian #Research
Introduces chiral edge codes combining stable gapped topological phases with gapless conformal edges for robust approximate quantum error correction, showing enhanced protection than 1D CFT codes.
#QuantumErrorCorrection #TopologicalQuantum #Research
#QuantumErrorCorrection #TopologicalQuantum #Research
Chiral Edge Codes for Approximate Quantum Error Correction
iq.fp2.dev
August 7, 2026 at 4:47 AM
Introduces chiral edge codes combining stable gapped topological phases with gapless conformal edges for robust approximate quantum error correction, showing enhanced protection than 1D CFT codes.
#QuantumErrorCorrection #TopologicalQuantum #Research
#QuantumErrorCorrection #TopologicalQuantum #Research
Develops methods to characterize when occupied quantum multiplets cannot be factorized into tensor products using mixed topological invariants, with superconducting qubit measurement protocols.
#TopologicalQuantum #QuantumInformation #Research
#TopologicalQuantum #QuantumInformation #Research
Topological Obstructions to Tensor-Product Factorization of Quantum State Bundles
arxiv.org
August 5, 2026 at 6:34 AM
Develops methods to characterize when occupied quantum multiplets cannot be factorized into tensor products using mixed topological invariants, with superconducting qubit measurement protocols.
#TopologicalQuantum #QuantumInformation #Research
#TopologicalQuantum #QuantumInformation #Research
Topologically protected flat bands on arbitrary graphs enable compact localized quantum states with applications to quantum computing, machine learning, and robust quantum networks without Majorana fermions.
#FlatBands #TopologicalQuantum #Research
#FlatBands #TopologicalQuantum #Research
Flat Topological Bands Protected by Local Graph Topology: Compact Localized States on Arbitrary Graphs
arxiv.org
July 28, 2026 at 5:54 AM
Topologically protected flat bands on arbitrary graphs enable compact localized quantum states with applications to quantum computing, machine learning, and robust quantum networks without Majorana fermions.
#FlatBands #TopologicalQuantum #Research
#FlatBands #TopologicalQuantum #Research
Researchers propose using minimal Kitaev chains to mediate long-distance spin qubit coupling via Andreev bound states, achieving 200× improvement in decoherence time through charge-noise-immune sweet spots in control space.
#SpinQubits #TopologicalQuantum #Research
#SpinQubits #TopologicalQuantum #Research
Robust Spin Qubit Coupler via Minimal Kitaev Chain
arxiv.org
July 14, 2026 at 7:19 AM
Researchers propose using minimal Kitaev chains to mediate long-distance spin qubit coupling via Andreev bound states, achieving 200× improvement in decoherence time through charge-noise-immune sweet spots in control space.
#SpinQubits #TopologicalQuantum #Research
#SpinQubits #TopologicalQuantum #Research
New supervised learning framework identifies quantum topological phases using only small subsystems (1-4 sites) via quantum kernels from reduced density matrices, enabling practical characterization without full-system access.
#TopologicalQuantum #QuantumML #Research
#TopologicalQuantum #QuantumML #Research
Learning Topological Quantum Phases from Limited Subsystems
arxiv.org
July 14, 2026 at 2:32 AM
New supervised learning framework identifies quantum topological phases using only small subsystems (1-4 sites) via quantum kernels from reduced density matrices, enabling practical characterization without full-system access.
#TopologicalQuantum #QuantumML #Research
#TopologicalQuantum #QuantumML #Research
Framework organizes quantum error correction around measured field-theoretic footprints, proves conditional threshold for topological codes, and demonstrates exact recovery with geometry-dependent likelihoods in Ising examples.
#QuantumErrorCorrection #TopologicalQuantum #QuantumComputing
#QuantumErrorCorrection #TopologicalQuantum #QuantumComputing
Field-Theoretic Framework for Quantum Error Correction Using Categorical Footprints
arxiv.org
July 13, 2026 at 5:30 AM
Framework organizes quantum error correction around measured field-theoretic footprints, proves conditional threshold for topological codes, and demonstrates exact recovery with geometry-dependent likelihoods in Ising examples.
#QuantumErrorCorrection #TopologicalQuantum #QuantumComputing
#QuantumErrorCorrection #TopologicalQuantum #QuantumComputing
Breaking: Researchers expand braiding statistics framework for non-Abelian anyons beyond previous constraints (p+q=d-1 now possible). Bockstein braiding discovery unlocks new possibilities for topological quantum systems and quantum phase transitions.
#TopologicalQuantum #AnyonBraiding #News
#TopologicalQuantum #AnyonBraiding #News
Novel Braiding Statistics Framework for Non-Abelian Anyonic Systems
quantumzeitgeist.com
July 7, 2026 at 3:40 PM
Breaking: Researchers expand braiding statistics framework for non-Abelian anyons beyond previous constraints (p+q=d-1 now possible). Bockstein braiding discovery unlocks new possibilities for topological quantum systems and quantum phase transitions.
#TopologicalQuantum #AnyonBraiding #News
#TopologicalQuantum #AnyonBraiding #News
Researchers fabricated a hybrid superconducting flux qubit using tin-doped bismuth compound, observing 4π-periodic supercurrents—a signature of Majorana Zero Modes. This topological approach could enable more fault-tolerant quantum computing.
#SuperconductingQubits #TopologicalQuantum #News
#SuperconductingQubits #TopologicalQuantum #News
Superconducting Flux Qubit Demonstrates Anomalous 4π Periodicity Suggestive of Majorana Zero Modes
iq.fp2.dev
July 7, 2026 at 3:53 PM
Researchers fabricated a hybrid superconducting flux qubit using tin-doped bismuth compound, observing 4π-periodic supercurrents—a signature of Majorana Zero Modes. This topological approach could enable more fault-tolerant quantum computing.
#SuperconductingQubits #TopologicalQuantum #News
#SuperconductingQubits #TopologicalQuantum #News
Topological defects in Bose gases follow a Poisson point process with universal stochastic geometry, offering new insights into quantum system behavior beyond conventional Kibble-Zurek predictions.
#TopologicalQuantum #BoseGas #News
#TopologicalQuantum #BoseGas #News
Universal Stochastic Geometry of Topological Defects in Coherently Coupled Bose Gases
quantumzeitgeist.com
July 1, 2026 at 1:59 PM
Topological defects in Bose gases follow a Poisson point process with universal stochastic geometry, offering new insights into quantum system behavior beyond conventional Kibble-Zurek predictions.
#TopologicalQuantum #BoseGas #News
#TopologicalQuantum #BoseGas #News
Researchers developed exactly solvable models of fermionic topological phases using hybrid Majorana-Pauli stabilizer codes, bridging fermionic and bosonic quantum orders with applications to quantum error correction and topological quantum computation.
#TopologicalQuantum #MajoranaPhases #News
#TopologicalQuantum #MajoranaPhases #News
Majorana-Pauli Stabilizer Codes Unlock Framework for Fermionic Topological Phases
iq.fp2.dev
June 28, 2026 at 7:50 PM
Researchers developed exactly solvable models of fermionic topological phases using hybrid Majorana-Pauli stabilizer codes, bridging fermionic and bosonic quantum orders with applications to quantum error correction and topological quantum computation.
#TopologicalQuantum #MajoranaPhases #News
#TopologicalQuantum #MajoranaPhases #News
Researchers observed multi-anyon bound states in graphene fractional quantum Hall states using STM spectroscopy, revealing energy splitting patterns crucial for understanding topological quantum computing applications.
#TopologicalQuantum #Anyons #News
#TopologicalQuantum #Anyons #News
Direct Observation of Multi-Anyon Configurations in Graphene Using Scanning Tunneling Spectroscopy
iq.fp2.dev
June 27, 2026 at 12:38 PM
Researchers observed multi-anyon bound states in graphene fractional quantum Hall states using STM spectroscopy, revealing energy splitting patterns crucial for understanding topological quantum computing applications.
#TopologicalQuantum #Anyons #News
#TopologicalQuantum #Anyons #News
Large deviations theory reveals asymmetric fluctuations in Majorana zero modes that favor stronger edge localization, providing disorder protection beyond conventional topological effects. Results enable benchmarking of short quantum chains.
#TopologicalQuantum #MajoranaFermions #Research
#TopologicalQuantum #MajoranaFermions #Research
Majorana Localization in Finite Disordered Kitaev Chains: Large Deviations Analysis
arxiv.org
June 17, 2026 at 4:54 AM
Large deviations theory reveals asymmetric fluctuations in Majorana zero modes that favor stronger edge localization, providing disorder protection beyond conventional topological effects. Results enable benchmarking of short quantum chains.
#TopologicalQuantum #MajoranaFermions #Research
#TopologicalQuantum #MajoranaFermions #Research
Microsoft's Majorana 2 demonstrates 20+ second parity state persistence—1000x improvement over predecessors. However, researchers dispute whether parity measurements constitute proof of topological qubits, amid ongoing technical disagreements.
#TopologicalQuantum #QuantumHardware #News
#TopologicalQuantum #QuantumHardware #News
Microsoft's Majorana 2 Topological Quantum Chip Faces Skepticism Over Qubit Authenticity
www.nature.com
June 3, 2026 at 2:46 PM
Microsoft's Majorana 2 demonstrates 20+ second parity state persistence—1000x improvement over predecessors. However, researchers dispute whether parity measurements constitute proof of topological qubits, amid ongoing technical disagreements.
#TopologicalQuantum #QuantumHardware #News
#TopologicalQuantum #QuantumHardware #News
Extends topological holography to fracton stabilizer codes via transport operators and four-stage framework, demonstrating induced dualities in X-cube and Haah's cubic code with explicit quantum circuit implementations.
#TopologicalQuantum #FractonOrder #QuantumErrorCorrection
#TopologicalQuantum #FractonOrder #QuantumErrorCorrection
Fracton Topological Holography: Extending Symmetry-Topological Field Theory Framework
arxiv.org
June 3, 2026 at 2:24 AM
Extends topological holography to fracton stabilizer codes via transport operators and four-stage framework, demonstrating induced dualities in X-cube and Haah's cubic code with explicit quantum circuit implementations.
#TopologicalQuantum #FractonOrder #QuantumErrorCorrection
#TopologicalQuantum #FractonOrder #QuantumErrorCorrection
Novel approach to realize large Chern numbers in optical Floquet quasicrystals with cold atoms, directly measured via Thouless pumping. Opens pathways for exploring rich topological dynamics and fractional Chern insulating states.
#TopologicalQuantum #QuantumSimulation #Research
#TopologicalQuantum #QuantumSimulation #Research
Thouless Pumping of Large Chern Numbers in Optical Floquet Quasicrystals
iq.fp2.dev
June 2, 2026 at 9:18 AM
Novel approach to realize large Chern numbers in optical Floquet quasicrystals with cold atoms, directly measured via Thouless pumping. Opens pathways for exploring rich topological dynamics and fractional Chern insulating states.
#TopologicalQuantum #QuantumSimulation #Research
#TopologicalQuantum #QuantumSimulation #Research
Researchers propose telesistors—quantum transistors using symmetry-protected topological order—offering intrinsic noise protection and high-fidelity Clifford gates without active error correction, enabling more modular quantum processors.
#Telesistors #TopologicalQuantum #QuantumComputing
#Telesistors #TopologicalQuantum #QuantumComputing
Telesistor Architecture Enables Fault-Tolerant Quantum Computing with Intrinsic Error Protection
quantumzeitgeist.com
May 22, 2026 at 12:19 PM
Researchers propose telesistors—quantum transistors using symmetry-protected topological order—offering intrinsic noise protection and high-fidelity Clifford gates without active error correction, enabling more modular quantum processors.
#Telesistors #TopologicalQuantum #QuantumComputing
#Telesistors #TopologicalQuantum #QuantumComputing
Researchers mapped how local perturbations create non-Abelian topological defects in quantum systems, reducing computational complexity exponentially and enabling numerical study of phase transitions critical for quantum information processing.
#TopologicalQuantum #QuantumErrorCorrection #Research
#TopologicalQuantum #QuantumErrorCorrection #Research
Synthetic Twist Defects in Topological Quantum Systems via Local Perturbations
arxiv.org
May 12, 2026 at 10:34 AM
Researchers mapped how local perturbations create non-Abelian topological defects in quantum systems, reducing computational complexity exponentially and enabling numerical study of phase transitions critical for quantum information processing.
#TopologicalQuantum #QuantumErrorCorrection #Research
#TopologicalQuantum #QuantumErrorCorrection #Research
Researchers demonstrate stable control of fractional boundary modes in organic spin chains using termination parity, achieving 3x improvement in mode splitting and enabling independent manipulation of quantum properties for device applications.
#TopologicalQuantum #SpinChains #News
#TopologicalQuantum #SpinChains #News
Controlled Fractionalization of Quantum States in Organic Spin Chains
iq.fp2.dev
April 24, 2026 at 5:27 PM
Researchers demonstrate stable control of fractional boundary modes in organic spin chains using termination parity, achieving 3x improvement in mode splitting and enabling independent manipulation of quantum properties for device applications.
#TopologicalQuantum #SpinChains #News
#TopologicalQuantum #SpinChains #News