We present experimental evidence that the [[5,1,3]] perfect quantum error-correcting code produces measurably superior inter-system correlation protection compared to generic Clifford encoders in superconducting quantum hardware. Five main results are reported: (1) hardware validation on IBM Quantum ibm_kingston yields ZZ_holo = +0.46 vs ZZ_rand = +0.025 (p=0.0265); (2) a 9-level capacity curve on ibm_fez confirms |ZZ_holo| = 0.692 vs |ZZ_rand| = 0.084 (t=32.057, p≈0, ratio 8.3×); (3) all-qubit noise experiment confirms amplitude plateau independent of noise level (t=25.265, p≈0); (4) inter-branch conditional correlations C_holo = 0.367 vs C_rand = 0.002 (ratio 172×, p=0.004); (5) Quantum Switch with holographic encoding yields coherence ratio 20× over random encoders (p=0.047). The holographic channel achieves CHSH = 2√2 exactly, confirming standard quantum mechanics. A Leggett-Garg violation K=1.106 > 1 is confirmed from existing hardware data (p=0.0015). All null results are reported with equal prominence. All experiments were pre-registered before data collection.
We present experimental evidence that the [[5,1,3]] perfect quantum error-correcting code produces measurably superior inter-system correlation protection compared to generic Clifford encoders in superconducting quantum hardware. Five main results are reported: (1) hardware validation on IBM Quantum ibm_kingston yields ZZ_holo = +0.46 vs ZZ_rand = +0.025 (p=0.0265); (2) a 9-level capacity curve on ibm_fez confirms |ZZ_holo| = 0.692 vs |ZZ_rand| = 0.084 (t=32.057, p≈0, ratio 8.3×); (3) all-qubit noise experiment confirms amplitude plateau independent of noise level (t=25.265, p≈0); (4) inter-branch conditional correlations C_holo = 0.367 vs C_rand = 0.002 (ratio 172×, p=0.004); (5) Quantum Switch with holographic encoding yields coherence ratio 20× over random encoders (p=0.047). The holographic channel achieves CHSH = 2√2 exactly, confirming standard quantum mechanics. A Leggett-Garg violation K=1.106 > 1 is confirmed from existing hardware data (p=0.0015). All null results are reported with equal prominence. All experiments were pre-registered before data collection.
We ask whether the [[5,1,3]] holographic quantum error-correcting code — previously shown to protect logical correlations under independent physical noise — also protects a quantum battery's extractable work (ergotropy), and whether entangling multiple logical-qubit batteries during charging gives a genuine collective advantage. Part I finds a two-regime result for a single logical qubit: holographic encoding protects ergotropy strongly for noise p<0.36 (z-scores up to +5.8) but the advantage inverts catastrophically above that threshold (z-scores down to −5.0); active syndrome-based recovery removes the threshold entirely. Part II extends the question to N=2–8 entangled logical qubits. Three real methodological errors were caught and corrected en route before a trustworthy answer emerged: optimized entangling coupling gives a real, reproducible ≈2× collective advantage that shrinks monotonically with N, the opposite of the growing scaling predicted in the broader literature — corroborated by an independent ansatz and a symmetry-breaking control. Finally, collective charging's speed advantage is shown not to transfer to noise robustness. Simulation-stage results (exact state-vector and density-matrix simulation); hardware validation proposed as future work.
We implement and benchmark on IBM Quantum hardware the circuit family proposed by Violaris for estimating operational inter-branch communication witnesses, defined as correlations in classical measurement records produced by compiled Wigner's-friend-style circuits. We realize a five-qubit instance of the protocol as an inter-register message-transfer pattern within a single circuit, rather than physical signaling, and evaluate its behavior under realistic device noise and compilation constraints. The circuit encodes branch-conditioned evolution of an observer subsystem whose dynamics depend on a control qubit, followed by a controlled transfer operation that probes correlations between conditional measurement contexts.
Executing on the ibm_fez backend with 20000 shots, we observe population-based visibility of 0.877, coherence witnesses of 0.840 and -0.811 along orthogonal axes, and a phase-sensitive magnitude of approximately 1.17. While the visibility metric is insensitive to some classes of dephasing, the coherence witnesses provide complementary sensitivity to off-diagonal noise.
This work does not test or discriminate among interpretations of quantum mechanics. Instead, it provides a reproducible operational constraint pipeline for evaluating detectability of non-ideal channels relative to calibrated device noise.
Experimental measurement data of the QITE formalism (Quantum-Inspired Thermal Equilibrium) on IBM quantum processors of the Heron R2 generation with 156 physical qubits. Altogether 75+ jobs on two different backends (ibm_kingston and ibm_fez), over 830,000 shots, carried out on 8, 10, and 11 April 2026. Seven experiment series: (1) Static phases (R=0.5 / 1.0 / 2.0): three clearly separated Hamming-weight distributions (16.3σ significance), positive ZZ correlations under QITE (+0.318 at R=2.0) versus negative ones in the null experiment (−0.061). Controlled comparison experiment with null hypothesis (identical circuit structure with random parameters). (2) Real-time feedback loop (8 cycles): two targeted perturbations (R=3.0 and R=0.3); the system returns autonomously to equilibrium within 2 cycles. First demonstration of dynamic controllability of a QITE quantum collective on a real quantum computer. (3) Cross-backend reproducibility: identical results on ibm_kingston and ibm_fez — deviations within a few percent. (4) Zero-noise extrapolation (ZNE): circuit folding (1×, 3×, 5×) with Richardson extrapolation. Result: coherence 0.474 → 0.474 extrapolated (improvement: −0.0005). The optimized circuit (depth 13, 120 CZ gates) already operates at the hardware noise floor — ZNE cannot improve it further because the circuit is already near-optimal. (5) Scaling comparison 27 vs. 156 qubits: the 27-qubit version on the same backend (ibm_kingston) shows ZZ correlation of 0.788 against 0.318 at 156 qubits (Δ = +0.470). Circuit depth drops from 13 to 6, CZ gates from 120 to 13. Confirms: the QITE signal scales with gate quality. (6) Extended feedback loop (20 cycles): four extreme perturbations — R=3.0 (excess), R=0.3 (deficit), R=5.0 (5-fold excess), R=0.1 (10-fold deficit). Maximum coherence C=0.785 (highest value ever measured). The system reorganizes itself after each perturbation within 2–4 cycles. Long-term stability demonstrated across 20 cycles and 436 seconds of total runtime. (7) 3-minute stability demonstration (20 cycles, 262.7 seconds): dedicated long-term test with two targeted shocks (R=4.0 and R=0.2). Result: ones_fraction remains between 0.491 and 0.499 over 4.4 minutes (maximum deviation from equilibrium: 0.009). Drift across the entire runtime: +0.003. Complete recovery after both shocks. 18/18 non-shock cycles stable. First demonstration of a self-correcting quantum field on a real quantum computer over several minutes. Circuit optimization relative to 8 April: reduction of circuit depth from 295 to 13 (factor 22×), two-qubit gates from 1,946 to 120, by exclusive use of native Heron R2 gates (CZ, SX, RZ, X) and direct lambda encoding via RY(θ) with θ = 2·arctan(λ₂/λ₁). The system demonstrably produces controllable, correlated, self-organizing quantum states on real hardware — no simulation, no theory, but physical measurement data of a concrete technical system. All 59 IBM job IDs are contained in the raw data and verifiable on quantum.ibm.com. German patent applications Az. 10 2025 003 906.9 (QITE) and Az. 10 2025 004 891.2 (QISE). Final document (12 April 2026) — 21 sections, 9 experiment series, 372 individual quantum measurements. Extensions compared to the previous version: Section 19: 9-minute experiment (209 cycles, 156 qubits, 4096 shots) Phase A: null test (23 cycles, R=1.0) — baseline control measurement Phase B: 8 shocks (R=0.1 to R=8.0) incl. double shock — complete recovery after each shock Section 20: overall summary of all 9 experiment series (8–12 April 2026) Section 21: raw-data appendix with SHA-256 checksums of all 9 JSON files Core results: 372 quantum measurements on IBM Heron R2 (ibm_kingston, ibm_fez) Dynamic range R=0.1 to R=8.0 (factor 80) with complete self-correction The null test proves: recovery is an active process, not a hardware artefact No drift, no collapse across 209 consecutive measurements Optimized circuit: depth 13, 120 CZ gates, at the hardware noise floor (ZNE-confirmed)
This work introduces holographic quantum computing, a novel paradigm that leverages the holographic principle and the AdS/CFT correspondence to address key challenges in quantum information processing, such as scalability and error correction. By encoding quantum information holographically on the boundary of a higher-dimensional space, we propose a framework that offers significant improvements in scalability and error resilience compared to traditional qubit-based approaches. Our comprehensive theoretical model for holographic quantum computing includes the construction of holographic quantum error-correcting codes that exhibit intrinsic error-correcting properties and lower overhead for fault tolerance. We present novel algorithms that exploit the geometric encoding of information, such as quantum walks on curved spaces and path-finding in hyperbolic graphs, demonstrating potential speedups and resource efficiency. Furthermore, we explore the implementation of standard quantum algorithms, like the Quantum Fourier Transform (QFT), within the holographic framework. The paper also details physical implementation strategies using analog quantum simulators, superconducting qubit arrays, and hybrid classical-quantum systems, highlighting practical pathways to realizing holographic quantum computers. Our results suggest that holographic quantum computing not only enhances the capabilities of quantum computation but also provides deep insights into the fundamental connections between quantum information, spacetime, and gravity. This interdisciplinary approach opens new frontiers in quantum computing and fundamental physics, offering potential breakthroughs in post-quantum cryptography, quantum simulations, and accelerated scientific discovery.