{ "canonical_url": "https://edukaizen.nl/pro-student-quantum-advantage-list/", "entries": [ { "claim_boundary": [ "This is a local time-to-answer result, not a reproduction of the paper's headline practical-advantage claim.", "The chi=256 MPS baseline did not establish full convergence.", "The fast Majorana route demonstrates that observable-specific classical methods can change the ranking." ], "classical_baselines": [ { "method": "Local quimb MPS with maximum bond dimension chi=256", "scope": "End-to-end local wall time for the 120-qubit, 60-site reference", "seconds": 9033.0, "status": "not fully converged; maximum bond reached the requested cap" }, { "method": "Local Majorana propagation with cutoff 2", "scope": "Mean double occupancy only", "seconds": 20.96, "status": "faster than the quantum proxy but visibly inaccurate" }, { "method": "Local Majorana propagation with cutoff 4", "scope": "Mean double occupancy only", "seconds": 1153.51, "status": "close to the chi=256 value for this selected observable" } ], "comparison": { "classification": "local_time_to_answer", "headline": "The quantum execution proxy was 272.50x shorter than the local chi=256 MPS wall time for this declared instance.", "ratio": 272.5, "ratio_is_lower_bound": false, "scope": "The ratio compares a quantum execution proxy with local MPS wall time; it is not full workflow parity and not a comparison with the later four-H200 classical implementation." }, "evidence_date": "2026-06-26", "id": "fermi-hubbard-120q", "implementation": { "edukaizen_url": "https://edukaizen.nl/fermi-hubbard-quantum-simulation-project/", "github_repositories": [ "https://github.com/BramDo/fermi-hubbard-60q-tdvp" ], "key_articles": [ "https://edukaizen.nl/fermi-hubbard-quantum-computer-part-5-quantum-advantage-or-time-to-answer/" ] }, "official_sources": [ { "label": "Hartnett et al., large-scale Fermi-Hubbard digital quantum simulation", "type": "paper", "url": "https://arxiv.org/abs/2605.04025" }, { "label": "Rausch et al., GPU and symmetry-aware classical challenge", "type": "paper", "url": "https://arxiv.org/abs/2606.04771" } ], "quantum": { "backend": "IBM Kingston through Q-CTRL Fire Opal", "result_summary": "The hardware produced a full 120-qubit observable profile; raw mean double occupancy was 0.22862549 and readout-corrected mean double occupancy was 0.23067722.", "task": "Estimate local observables after 30 Trotter steps at model time t=6", "timings": [ { "primary": true, "scope": "Estimated main plus readout circuit execution; excludes full human and cloud workflow time", "seconds": 33.148928 } ], "workflow": "Fire Opal main and readout execution proxy with 4,096 main shots" }, "scale": { "qubits": 120, "sites": 60 }, "schema_version": 1, "short_title": "1D Fermi-Hubbard", "summary": "A 60-site Fermi-Hubbard hardware workflow produced local charge, spin, and double-occupancy observables and was compared with local MPS and observable-specific Majorana calculations.", "tags": [ "fermi-hubbard", "many-body", "fire-opal", "tensor-networks", "120-qubits" ], "title": "Fermi-Hubbard dynamics on 120 qubits" }, { "claim_boundary": [ "Hardware-only time is not cloud wall time and excludes several service overheads.", "The local scalar normalization remains distinct from the tracker's published hadron scalar.", "The result supports runtime separation and circuit or sector validation, not an independent precision reproduction of every published observable." ], "classical_baselines": [ { "method": "Local Aer MPS on compiled QASM", "scope": "Circuit-level tensor check on the same compiled-QASM family", "seconds": 34.281305, "status": "completed local sanity baseline" }, { "method": "Local ITensorMPS on compiled QASM", "scope": "Circuit-level tensor check on the same compiled-QASM family", "seconds": 174.611, "status": "completed local sanity baseline" }, { "method": "Published Pauli propagation on CPU at step 5", "scope": "Paper x=100 step-5 circuit-level baseline", "seconds": 477.4471, "status": "published baseline" }, { "method": "Published Pauli propagation on GPU at step 5", "scope": "Paper x=100 step-5 circuit-level baseline", "seconds": 547.581, "status": "published baseline" }, { "method": "Published ITensor TDVP tensor network at step 5", "scope": "Paper x=100 step-5 fuller LSH-Hamiltonian baseline", "seconds": 584.092, "status": "published baseline" } ], "comparison": { "classification": "paper_aligned_local_separation", "headline": "Both the local circuit checks and the paper-native baselines show a substantial runtime separation under their declared timing definitions.", "ratio": null, "ratio_is_lower_bound": false, "scope": "The local quantum number is hardware-only time, while the paper reports a separate 20-second QPU timing; the two timing systems must not be merged into one universal ratio." }, "evidence_date": "2026-07-08", "id": "su2-hadron-120q", "implementation": { "edukaizen_url": "https://edukaizen.nl/hadron-quantumsimulatie/", "github_repositories": [ "https://github.com/BramDo/hadron" ], "key_articles": [ "https://edukaizen.nl/hadron-quantumsimulatie/quantumvoordeel-vergelijking/" ] }, "official_sources": [ { "label": "Ilcic et al., Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors", "type": "paper", "url": "https://arxiv.org/abs/2602.18080" }, { "label": "Quantum Advantage Tracker issue 149", "type": "tracker", "url": "https://github.com/quantum-advantage-tracker/quantum-advantage-tracker.github.io/issues/149" }, { "label": "Official LSH-IBM circuit repository", "type": "repository", "url": "https://github.com/indrakshir/LSH-IBM" }, { "label": "Official lsh_data repository", "type": "data", "url": "https://github.com/mathew0036/lsh_data" } ], "quantum": { "backend": "IBM hardware through Q-CTRL Fire Opal", "result_summary": "The local hardware route produced charge-sector and differential-observable data for the 120-qubit circuit family.", "task": "Estimate differential hadron observables and verify the conserved charge sector", "timings": [ { "primary": true, "scope": "Local hardware time including readout circuits; excludes queue, API, compilation, and local analysis", "seconds": 1.425408 }, { "primary": false, "scope": "Main hardware circuits only", "seconds": 0.987136 } ], "workflow": "Local Fire Opal execution of paired strong-coupling-vacuum and centered-hadron circuits with readout calibration" }, "scale": { "qubits": 120, "sites": 60 }, "schema_version": 1, "short_title": "SU(2) hadron dynamics", "summary": "A Loop-String-Hadron implementation follows a differential hadron signal on a 60-site lattice and compares the quantum route with local circuit-MPS checks and published tensor-network and Pauli-propagation baselines.", "tags": [ "hadron", "lattice-gauge-theory", "fire-opal", "tensor-networks", "120-qubits" ], "title": "Non-Abelian SU(2) hadron dynamics on 120 active qubits" }, { "claim_boundary": [ "The classical calculation did not converge and no matched-accuracy ratio was obtained.", "This is a tracker-compatible 80-qubit extension with N_init=8, not an official tracker instance or an N_init=500 reproduction.", "The observation is local and does not cover every classical implementation or optimized compute platform." ], "classical_baselines": [ { "method": "Tracker-linked Heisenberg BP-TN at bond dimension 16", "scope": "Completed delta and delta0 halves", "seconds": 365.14, "status": "not converged; apparent ratio is not a valid physical estimate" }, { "method": "Tracker-linked Heisenberg BP-TN delta half at bond dimension 32", "scope": "Delta half only", "seconds": 342.42, "status": "not converged; value shifted by 86 percent from bond dimension 16" }, { "method": "Tracker-linked Heisenberg BP-TN delta half at bond dimension 64", "scope": "Delta half only, stopped at the bounded wall-time limit", "seconds": 901.01, "status": "timeout before producing a result" } ], "comparison": { "classification": "local_runtime_lower_bound", "headline": "The incomplete bond-dimension-64 classical delta half alone exceeded the complete Fire Opal action by more than 2.75x on this machine.", "ratio": 2.75, "ratio_is_lower_bound": true, "scope": "The classical route did not converge and did not complete the delta0 half, so this is a local runtime lower bound rather than a matched-accuracy quantum-advantage result." }, "evidence_date": "2026-07-11", "id": "operator-loschmidt-echo-q80", "implementation": { "edukaizen_url": "https://edukaizen.nl/quantum-tracker-ole-q80-project/", "github_repositories": [ "https://github.com/BramDo/onderzoek_blackhole_echo_status_2026-03-05_131816" ], "key_articles": [ "https://edukaizen.nl/quantum-tracker-ole-q80-part-4-the-tensor-network-challenge/" ] }, "official_sources": [ { "label": "Quantum Advantage Tracker observable-estimation register", "type": "tracker", "url": "https://quantum-advantage-tracker.github.io/trackers/observable-estimations" }, { "label": "Released Operator Loschmidt Echo circuits", "type": "repository", "url": "https://github.com/quantum-advantage-tracker/quantum-advantage-tracker.github.io/tree/main/data/observable-estimations/circuit-models/operator_loschmidt_echo" } ], "quantum": { "backend": "IBM Kingston through Q-CTRL Fire Opal", "result_summary": "The measured delta/delta0 OLE ratio was 0.74028847 +/- 0.01663657; all eight sample ratios were positive.", "task": "Estimate a finite-sample Operator Loschmidt Echo scrambling observable", "timings": [ { "primary": true, "scope": "Complete Fire Opal action wall time for all sixteen mitigated circuits", "seconds": 328.0 }, { "primary": false, "scope": "IBM job creation-to-completion time", "seconds": 155.23 }, { "primary": false, "scope": "Estimated QPU seconds", "seconds": 43.85 } ], "workflow": "Sixteen mitigated circuits with N_init=8 and 8,000 shots per circuit" }, "scale": { "qubits": 80, "sites": null }, "schema_version": 1, "short_title": "Operator Loschmidt Echo Q80", "summary": "A tracker-compatible 80-qubit extension estimates an Operator Loschmidt Echo from finite computational-basis samples and compares the complete mitigated hardware action with a bounded tracker-linked BP-TN calculation.", "tags": [ "operator-loschmidt-echo", "scrambling", "fire-opal", "tensor-networks", "80-qubits" ], "title": "Operator Loschmidt Echo on 80 qubits" }, { "claim_boundary": [ "The Tracker result used restricted access to IBM Boston, whereas this independent reproduction used the available IBM Kingston route; backend access, physical mapping, and calibration window are therefore not matched.", "Boston produced a substantially stronger workload-level result, but its historical calibration and complete raw fidelity-analysis record are not public, so the result does not establish that Boston was universally better hardware than Kingston.", "The 70-qubit classical runtime is extrapolated from measurements ending at 12 qubits, not measured at full width.", "The quantum samples have no validated full-distribution fidelity, and the separate predeclared 95 percent stabilizer test failed.", "The post-hoc 75 percent lower bound is an exploratory sensitivity result, not 75 percent fidelity and not evidence of quantum advantage." ], "classical_baselines": [ { "method": "Local Qiskit Aer extended-stabilizer fit evaluated at 70 qubits", "scope": "Projected time for one sample from timings measured only at 4, 6, 8, 10, and 12 qubits", "seconds": 217512854796362.62, "status": "extrapolated; not measured at 70 qubits and not quality matched" }, { "method": "Local ITensorMPS at maximum bond dimension 64", "scope": "Warm-process state construction plus 256 samples for the complete 70-qubit circuit", "seconds": 205.36, "status": "completed but strongly truncated and not converged" }, { "method": "Local exact MPS anchor at 14 induced qubits", "scope": "Median runtime for a newly induced 14-qubit circuit", "seconds": 3.23, "status": "exact small-width validation; not a 70-qubit baseline" } ], "comparison": { "classification": "diagnostic_only", "headline": "Hardware returned 256 samples in 19 quantum-seconds, while a local Aer fit projects about 6.89 million years for one 70-qubit sample; sample counts and output quality are not matched.", "ratio": null, "ratio_is_lower_bound": false, "scope": "This is a same-width clock scenario, not a measured speedup or a quality-matched quantum-advantage result." }, "evidence_date": "2026-07-16", "id": "random-graph-sampling-70q", "implementation": { "edukaizen_url": "https://edukaizen.nl/random-graph-sampling/", "github_repositories": [ "https://github.com/BramDo/random_graph" ], "key_articles": [ "https://edukaizen.nl/19-seconds-versus-6-89-million-years/" ] }, "official_sources": [ { "label": "Quantum Advantage Tracker issue 151", "type": "tracker", "url": "https://github.com/quantum-advantage-tracker/quantum-advantage-tracker.github.io/issues/151" }, { "label": "Released Random Graph Sampling circuits", "type": "repository", "url": "https://github.com/quantum-advantage-tracker/quantum-advantage-tracker.github.io/tree/main/data/classically-verifiable-problems/circuit-models/random_graph_sampling" } ], "quantum": { "backend": "IBM Kingston through Q-CTRL Fire Opal and IBM Runtime", "result_summary": "The complete circuit returned 256 samples. The separate checked dataset retained 4,519 of 184,320 shots and gave a graph-state-prefix point estimate of 0.01217; its predeclared one-sided 95 percent lower-bound test failed. The original restricted-access IBM Boston execution reported substantially stronger effective performance than this independently accessible Kingston reproduction.", "task": "Sample the complete random-graph circuit and estimate the graph-state prefix with predeclared stabilizers", "timings": [ { "primary": true, "scope": "Provider quantum-seconds for 256 samples from the complete 70-data-qubit circuit; excludes queue and local workflow time", "seconds": 19.0 }, { "primary": false, "scope": "Provider running-to-finished interval for the complete-circuit sampling action", "seconds": 81.670984 }, { "primary": false, "scope": "Quantum-seconds across the separate 80-stabilizer direct-fidelity-estimation jobs", "seconds": 58.0 } ], "workflow": "Fire Opal sampling of the complete circuit plus a separate 80-stabilizer, eight-check IBM Runtime verification route" }, "scale": { "qubits": 70, "sites": null }, "schema_version": 1, "short_title": "Random Graph Sampling", "summary": "A complete 70-data-qubit non-Clifford circuit was sampled on IBM hardware, alongside an independent 70+8-qubit stabilizer-verification workflow and local classical scaling studies.", "tags": [ "random-graph-sampling", "graph-states", "fire-opal", "stabilizer-verification", "70-qubits" ], "title": "Random Graph Sampling on 70 data qubits" }, { "claim_boundary": [ "The MPS route did not converge, so the same feature target was specified but numerical feature equality at a matched error tolerance was not established.", "The 26 quantum-seconds value was read from the Fire Opal dashboard; the archived get_result payload omitted the quantum-seconds field.", "The greater-than-99.1x ratio compares QPU-only dashboard time with local MPS wall time; the broader submission-to-retrieval comparison is a lower bound greater than 5.02x.", "The inexpensive classical linear and RBF classifiers do not require simulation of the 60-qubit feature map, so this is not an end-to-end speedup over ordinary classical machine learning.", "The held-out test contains only 32 cells; the one-cell hardware lead is not statistically significant and does not establish general predictive advantage.", "This is a local result under declared hardware and classical resources, not a claim against every tensor-network method, compute platform, or future implementation." ], "classical_baselines": [ { "method": "Local MPS convergence ladder for the same 60-qubit circuit and 627-feature target", "scope": "Local wall time through all eight bond-dimension-64 parts and one of eight bond-dimension-128 parts; bond dimensions 256 and 512 were not reached", "seconds": 2577.0, "status": "stopped without a converged feature result" }, { "method": "Training-only-selected linear SVC on classically prepared gene data", "scope": "Same frozen 32-cell training and 32-cell test split, evaluated by held-out balanced accuracy", "seconds": null, "status": "completed; 0.50000 balanced accuracy (16/32)" }, { "method": "Training-only-selected RBF SVC on classically prepared gene data", "scope": "Same frozen 32-cell training and 32-cell test split, evaluated by held-out balanced accuracy", "seconds": null, "status": "completed; 0.43750 balanced accuracy (14/32)" } ], "comparison": { "classification": "local_runtime_lower_bound", "headline": "Hardware generated the complete 60-qubit feature result in 26 quantum-seconds while local MPS remained incomplete after 2,577 seconds: a kernel-time lower bound greater than 99.1x; the complete Fire Opal route retained a lower bound greater than 5.0x.", "ratio": 99.1153846154, "ratio_is_lower_bound": true, "scope": "The primary ratio compares dashboard QPU time with local MPS wall time for the same specified feature target, not matched numerical error. Using the 513-second submission-to-retrieval interval instead gives a lower bound greater than 5.02x." }, "evidence_date": "2026-07-21", "id": "qos-pbmc68k-qml-60q", "implementation": { "edukaizen_url": "https://edukaizen.nl/quantum-oracle-sketching-qml-genexpressie/", "github_repositories": [ "https://github.com/BramDo/qlab-ml-adv-all-runners" ], "key_articles": [ "https://edukaizen.nl/quantum-oracle-sketching-qml-genexpressie/voorstel-60-qubit-qml-vervolgstudie/", "https://edukaizen.nl/quantum-oracle-sketching-qml-gene-expression/proposal-60-qubit-qml-follow-up-study/" ] }, "official_sources": [ { "label": "Exponential quantum advantage in processing massive classical data", "type": "paper", "url": "https://arxiv.org/abs/2604.07639" }, { "label": "Official Quantum Oracle Sketching repository", "type": "repository", "url": "https://github.com/haimengzhao/quantum-oracle-sketching" }, { "label": "10x Genomics PBMC68k dataset", "type": "data", "url": "https://www.10xgenomics.com/datasets/fresh-68-k-pbm-cs-donor-a-1-standard-1-1-0" } ], "quantum": { "backend": "IBM Fez through Q-CTRL Fire Opal", "result_summary": "Held-out balanced accuracy was 0.53125 (17/32), compared with 0.50000 (16/32) for the predeclared linear baseline and 0.43750 (14/32) for RBF. The exact McNemar p-value against linear was 1.0 and the paired-bootstrap 95 percent interval was -0.1875 to 0.25.", "task": "Generate 627 ordered X, Y, and Z Pauli features for each of 64 fixed PBMC68k cells", "timings": [ { "primary": true, "scope": "Quantum-seconds reported by the Fire Opal dashboard for action 2335848; excludes orchestration, queueing, retrieval, data preparation, and classifier training", "seconds": 26.0 }, { "primary": false, "scope": "Approximate submission-to-fully-retrieved interval for the complete 192-circuit Fire Opal action", "seconds": 513.0 } ], "workflow": "A shallow 6x10 module-B4 circuit, three measurement bases per cell, 192 circuits, and 128 shots per circuit" }, "scale": { "qubits": 60, "sites": null }, "schema_version": 1, "short_title": "PBMC68k QML 60q", "summary": "A frozen 60-qubit QOS-inspired feature map generated 627 measured features for real PBMC68k cells on IBM Fez, reached the strongest held-out point score, and completed far sooner than the bounded local MPS attempt for the same specified feature target.", "tags": [ "quantum-machine-learning", "pbmc68k", "quantum-oracle-sketching", "fire-opal", "tensor-networks", "60-qubits" ], "title": "QOS-inspired PBMC68k feature generation on 60 qubits" } ], "entry_count": 5, "project": "Pro Student Quantum Advantage List", "repository": "https://github.com/BramDo/pro-student-quantum-advantage-list", "schema_version": 1 }