Constructs aperiodic cluster states for measurement-based quantum computation, where all computation is performed by measuring a pre-entangled resource state rather than by applying gates — a computation model suited to photonic and other gate-limited hardware architectures.
Conventional quantum computation proceeds by applying gates to qubits one after another in a circuit. Measurement-based quantum computation (MBQC) inverts this: start with a large pre-entangled resource state (a cluster state), and then perform all computation by measuring individual qubits in sequences, with each measurement outcome determining subsequent measurement choices. No gates are applied after the cluster state is prepared — computation is entirely in the measurements.
The φCoherent entanglement fabric constructs cluster states with an aperiodic Fibonacci-word structure rather than a regular lattice. Regular cluster states concentrate correlated noise in specific geometric patterns, creating systematic errors that are hard to correct. The aperiodic Fibonacci-word structure spreads correlated noise uniformly across the cluster, converting systematic spatial correlations into random noise that standard error correction handles efficiently.
The entanglement pattern follows a Fibonacci-word aperiodic sequence, spreading correlated noise uniformly across the resource state rather than concentrating it in regular patterns.
The aperiodic structure converts spatially-correlated noise (which is hard to correct) into effectively random noise (which standard QEC handles well).
After cluster state preparation, all computation proceeds by measurement alone, eliminating the need to apply gates under noisy conditions.
MBQC is the natural paradigm for photonic quantum hardware and other architectures where measurements are cheaper than gates; the fabric provides a complete resource-state preparation solution for these platforms.
Alternative computation model layer — the entanglement fabric is the φCoherent implementation of MBQC as an alternative to gate-based computation. Use it when the target hardware architecture favors measurement over gate application, or when the noise profile of the hardware makes MBQC more efficient than the equivalent gate circuit. The type system and HAL support MBQC circuits as first-class citizens.
QEC applied to the cluster state during preparation, protecting the resource state before computation begins.
Routes measurement-based circuits to MBQC-capable backends, handling the hardware-specific details of cluster state execution.
Published under the GNU AGPLv3 with whitepaper and reference implementation. Commercial licensing is available for closed-source deployments.