Quantum Computing

Speculative

Quantum computing, viewed through Synchronism, is coherence engineering. Gates are coherence operations, speedup is coherent parallelism, and the entire enterprise of error correction is about maintaining the γ regime against environmental MRH crossings.

Gates as Coherence Operations

A quantum gate transforms the state of qubits. In Synchronism's framing, each gate is an operation that redistributes coherence across the system's phase pattern:

Hadamard Gate

Splits coherence equally between |0⟩ and |1⟩. Creates maximal superposition. In Synchronism: distributes the phase pattern across both branches with equal weight.

CNOT Gate

Creates entanglement between two qubits. In Synchronism: establishes shared γ between two subsystems, linking their Ncorr values.

Phase Gate

Rotates the phase of one branch relative to another. In Synchronism: adjusts the phase pattern without changing coherence magnitudes. Pure phase engineering.

Measurement

Extracts a classical bit. In Synchronism: forces an MRH crossing that collapses the phase pattern. Coherence concentrates into one branch.

Speedup = Coherent Parallelism

Speedup ∝ branches maintained before MRH crossing
Quantum advantage from coherence

A classical computer explores one path at a time. A quantum computer maintains coherent superposition across exponentially many paths simultaneously. The “quantum advantage” is exactly the number of coherent branches that can be maintained and interfered before the system crosses the MRH.

Shor's algorithm works because it maintains coherence across all factor candidates simultaneously, then uses interference (phase pattern manipulation) to amplify the correct answer. Grover's algorithm amplifies the coherence in the marked state through repeated phase rotations.

Error Correction = Maintaining γ

Decoherence = unwanted MRH crossing.

Every qubit constantly interacts with its environment. Each interaction threatens to increase Ncorr, decrease γ, and push the system past the MRH. Quantum error correction fights this by encoding logical qubits into larger physical systems that can detect and correct small MRH encroachments before they become irreversible.

In this framing, the threshold theorem of fault-tolerant quantum computing becomes a statement about γ maintenance: if the per-gate error rate (per-gate MRH encroachment) is below a threshold, then arbitrarily long coherent computation is possible by continuously correcting the γ drift.

T2 Coherence Times

The T2 decoherence time of a qubit measures how long it maintains phase coherence. In Synchronism, this is the timescale on which environmental coupling pushes γ below the quantum regime threshold. Synchronism predicts that T2should scale with Ncorr of the environment:

Protocol 6 in the Quantum Predictions proposes testing whether T2 correlates with Ncorr-based predictions. Estimated cost: $5K, timeline: 6 months.

Next: Wave Function Interpretation →Back: Born Rule Derivation

Prerequisites

Understanding these concepts first will help:

Born Rule DerivationQuantum probabilities from coherence conservation

Related Concepts

Quantum Predictions2 consistent with literature, 6 untested protocolsEntanglement as CoherenceNon-local correlations from shared γ