Beyond the Qubit: Constructive Paradigms for Post-Particle Computation

In the paper's words

Companion paper to "The Qubit Delusion" (v1.1, https://papers.qnfo.org/papers/paper-the-qubit-delusion/). If the qubit-gate-circuit model is an epistemic failure — a projection of particle ontology onto relational, field-theoretic reality — what comes next? We strip quantum mechanics to its minimal ontological commitments, survey alternative paradigms (MBQC, CV-QC, TQC, field-theoretic, analog) for ontological fidelity, assess commercial manufacturability of each physical platform, and ask whether "quantum computing" is even the right frame.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. While small processors (100-1000 qubits) can be manufactured, the scaling requirements for fault-tolerant computation --- millions of physical qubits at millikelvin, each with individual control lines --- appear incompatible with commercial deployment at any plausible cost point.

   from 4.3 Superconducting Qubits: The Incumbent

2. Challenges: Gate fidelities, while improving, are below fault-tolerance thresholds for many architectures (~99.5% for two-qubit gates, need >99.9%).

   from 4.2 Neutral Atom Arrays

3. Challenges: Cryogenic operation at ~10 mK requires dilution refrigerators, which are expensive, bulky, and power-hungry.

   from 4.3 Superconducting Qubits: The Incumbent

4. Advantages: Highest gate fidelities of any platform (>99.9% for two-qubit gates).

   from 4.4 Trapped Ions

5. Useful computation requires perhaps 100-1000 logical qubits.

   from 4.5 The Common Scaling Problem

6. Loihi 2 achieves ~15 pJ per synaptic operation, compared to ~100 pJ for equivalent operations on conventional processors.

   from 5.3 Neuromorphic Computing

How it is done

1. The Kochen-Specker theorem proves that quantum systems cannot have pre-existing values for all observables simultaneously.

   from 2.2 The Minimal Ontological Commitments of Quantum Mechanics

2. The word "quantum" comes from the Latin quantus ("how much") and refers to the fact that certain physical quantities --- energy levels in bound systems, angular momentum, charge --- come in discrete units.

   from 2.5 The Physical Meaning of "Quantum"

3. Core idea: The computation IS the entanglement structure.

   from 3.1 Measurement-Based Quantum Computing (MBQC)

4. Quantum annealing (D-Wave's approach) is another: encode the problem in the energy landscape of a quantum system and let the system's natural relaxation dynamics find the ground state.

   from 3.5 Analog Quantum Computing and Quantum Simulation

What would falsify it

1. If the qubit is a scaffold, not an invariant, then what IS the invariant?

   from 1. The Question Behind the Critique

2. Why it might matter: If the qubit is a scaffold and the field is the reality, then the most natural computational primitive is not the two-level system but the continuum field mode.

   from 3.4 Quantum Field Computation: The Speculative Frontier

3. We close with specific, falsifiable research directions that operationalize these principles.

   from 7. The Research Agenda, Operationalized

Where the claim stops

1. It takes classical categories (particle, wave, measurement, observer) as primitive and then expresses perplexity when quantum systems fail to conform to them.

   from 2.1 The Textbook Picture and Its Projections

2. It is a strictly larger space --- the tensor product --- that contains entangled states that cannot be factored.

   from 2.2 The Minimal Ontological Commitments of Quantum Mechanics

3. The Kochen-Specker theorem proves that quantum systems cannot have pre-existing values for all observables simultaneously.

   from 2.2 The Minimal Ontological Commitments of Quantum Mechanics

Where to read

1. 1. The Question Behind the Critique261 words · 1 min
2. 2. What Is "Quantum," Really? An Ontological Stripping1,259 words · 5 min
3. 3. The Solution Space: Computational Paradigms Faithful to Quantum Reality1,505 words · 7 min
4. 4. What Can Actually Be Built? Commercially Manufacturable Paths895 words · 4 min
5. 5. Post-Quantum: The Next Computational Frontier1,158 words · 5 min
6. 6. Principles for Post-Particle Computation160 words · 1 min
7. 7. The Research Agenda, Operationalized376 words · 2 min
8. 8. Conclusion525 words · 2 min