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Feynman-Shor Quantum Bifurcation: Physical Resilience Versus Algorithmic Fragility

Rowan Brad Quni-Gudzinas

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.2139/ssrn.5938137

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Feynman-Shor Quantum Bifurcation: Physical Resilience versus Algorithmic Fragility

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This analysis reconstructs the divergent phylogenetic lineages of quantum computing, termed Feynman-Shor bifurcation. The field has split into two distinct ontologies: path A (mimetic simulation), rooted in Feynman’s original 1982 vision of structural isomorphism, which is inherently robust to noise and viable on current hardware; and path B (algorithmic calculation), defined by Shor’s 1994 factoring algorithm, which remains practically intractable due to the fragility of phase estimation without fault tolerance. While this bifurcation defines the current era of hardware development, the two paths are projected to converge at the ultimate physical limits of scale and fidelity, resolving into a single, universal paradigm of quantum computation.

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The Quantum Cryptanalysis of 2026: Resource Estimates, Censorship, and the Race to Q-Day — with QWAV Thermodynamic Critique

Rowan Brad Quni-Gudzinas

[v2.0 — Full QWAV Thermodynamic Integration] Analysis of March 2026 Google Quantum AI and Oratomic papers on Shor's algorithm resource estimates for secp256k1 elliptic curve cryptography, presented alongside QWAV's published thermodynamic critique of Shor scalability. CONTENTS: - Resource estimates: Google (≤1,200 logical qubits, ≤90M Toffoli gates; <500K physical qubits superconducting) and Oratomic (10K physical qubits, neutral atoms) - ZK-proof censorship: First use in academic publishing; hidden optimizations independently rediscovered by Schrottenloher (arXiv:2606.02235) within two months - ecdsa.fail: Crowdsourced optimization challenge achieving 15.1% improvement over Google's classified circuit (135 submissions, 35 solvers) - Q-Day timeline: Justin Drake 50% by 2032 vs. QWAV "never" (thermodynamic impossibility) - QWAV THERMODYNAMIC CRITIQUE (new in v2.0): Full analysis of Landauer-limited QEC scaling, precision scaling problem, five false assumptions in Shor's algorithm, Feynman-Shor quantum bifurcation - Post-quantum migration: Ethereum Foundation's leanVM, 2029 target, Proximity Prize, Poseidon Initiative - UNRESOLVED DEBATE: Is Shor's algorithm physically viable at cryptographically relevant scales? Google/Oratomic: yes (engineering). QWAV: no (thermodynamic). No experimental resolution at scale exists. QWAV prior work integrated: Feynman-Shor Quantum Bifurcation (DOI: 10.5281/zenodo.17977869), Post-Quantum Synthesis (DOI: 10.5281/zenodo.17184229), SHORS IS BUSTED internal analysis.

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The Qubit's Promise: A Narrative Review of Quantum Information, from Feynman's Simulation to Error Correction

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Quantum information is physics' claim on computation: the argument, opened by Feynman in 1982, that quantum systems are efficiently simulated only by quantum machines, and the program—qubits, gates, algorithms, and error correction—that turned the argument into an engineering discipline. This article presents a narrative review of the primary literature that built the field, from Feynman's 1982 simulation proposal and Deutsch's 1985 universal quantum computer, through the Deutsch–Jozsa problem, which showed quantum algorithms' separation, Shor's 1994 factoring algorithm, whose period-finding broke public-key cryptography's assumptions, Grover's 1996 quadratic search speedup, Shor's 1995 and Steane's 1996 error-correcting codes, which answered decoherence—the field's standing objection—Cirac and Zoller's 1995 trapped-ion gates and Knill, Laflamme, and Milburn's 2001 linear-optical scheme, Bennett and Brassard's 1984 quantum cryptography, and Nielsen and Chuang's 2000 codifying textbook. The synthesis is organized around three themes: the computational settlement, in which quantum parallelism was formalized and weaponized into algorithms with provable speedups; the error-correction settlement, in which the no-cloning obstacle was circumvented and fragile states made correctable; and the physical settlement, in which implementations—ions, photons, and their successors—gave the theory its hardware. It is concluded that quantum information's history is the conversion of an objection—quantum states are too fragile to compute with—into the field's defining technology: error correction, the discipline that made the qubit a promise kept in principle.

•Aug 29, 2026•0 citations
This analysis reconstructs the divergent phylogenetic lineages of quantum computing, termed Feynman-Shor bifurcation. The field has split into two distinct ontologies: path A (mimetic simulation), rooted in Feynman’s original 1982 vision of structural isomorphism, which is inherently robust to noise and viable on current hardware; and path B (algorithmic calculation), defined by Shor’s 1994 factoring algorithm, which remains practically intractable due to the fragility of phase estimation without fault tolerance. While this bifurcation defines the current era of hardware development, the two paths are projected to converge at the ultimate physical limits of scale and fidelity, resolving into a single, universal paradigm of quantum computation.
[v2.0 — Full QWAV Thermodynamic Integration] Analysis of March 2026 Google Quantum AI and Oratomic papers on Shor's algorithm resource estimates for secp256k1 elliptic curve cryptography, presented alongside QWAV's published thermodynamic critique of Shor scalability. CONTENTS: - Resource estimates: Google (≤1,200 logical qubits, ≤90M Toffoli gates; <500K physical qubits superconducting) and Oratomic (10K physical qubits, neutral atoms) - ZK-proof censorship: First use in academic publishing; hidden optimizations independently rediscovered by Schrottenloher (arXiv:2606.02235) within two months - ecdsa.fail: Crowdsourced optimization challenge achieving 15.1% improvement over Google's classified circuit (135 submissions, 35 solvers) - Q-Day timeline: Justin Drake 50% by 2032 vs. QWAV "never" (thermodynamic impossibility) - QWAV THERMODYNAMIC CRITIQUE (new in v2.0): Full analysis of Landauer-limited QEC scaling, precision scaling problem, five false assumptions in Shor's algorithm, Feynman-Shor quantum bifurcation - Post-quantum migration: Ethereum Foundation's leanVM, 2029 target, Proximity Prize, Poseidon Initiative - UNRESOLVED DEBATE: Is Shor's algorithm physically viable at cryptographically relevant scales? Google/Oratomic: yes (engineering). QWAV: no (thermodynamic). No experimental resolution at scale exists. QWAV prior work integrated: Feynman-Shor Quantum Bifurcation (DOI: 10.5281/zenodo.17977869), Post-Quantum Synthesis (DOI: 10.5281/zenodo.17184229), SHORS IS BUSTED internal analysis.
Quantum information is physics' claim on computation: the argument, opened by Feynman in 1982, that quantum systems are efficiently simulated only by quantum machines, and the program—qubits, gates, algorithms, and error correction—that turned the argument into an engineering discipline. This article presents a narrative review of the primary literature that built the field, from Feynman's 1982 simulation proposal and Deutsch's 1985 universal quantum computer, through the Deutsch–Jozsa problem, which showed quantum algorithms' separation, Shor's 1994 factoring algorithm, whose period-finding broke public-key cryptography's assumptions, Grover's 1996 quadratic search speedup, Shor's 1995 and Steane's 1996 error-correcting codes, which answered decoherence—the field's standing objection—Cirac and Zoller's 1995 trapped-ion gates and Knill, Laflamme, and Milburn's 2001 linear-optical scheme, Bennett and Brassard's 1984 quantum cryptography, and Nielsen and Chuang's 2000 codifying textbook. The synthesis is organized around three themes: the computational settlement, in which quantum parallelism was formalized and weaponized into algorithms with provable speedups; the error-correction settlement, in which the no-cloning obstacle was circumvented and fragile states made correctable; and the physical settlement, in which implementations—ions, photons, and their successors—gave the theory its hardware. It is concluded that quantum information's history is the conversion of an objection—quantum states are too fragile to compute with—into the field's defining technology: error correction, the discipline that made the qubit a promise kept in principle.