Quantum Compilation
Drastically reduce the size of your circuits to allow them to run on next-generation quantum computing hardware. On this page, you will find explanations and implementations of important compilation passes and techniques.
What is Quantum Compilation?
(Clifford + T) Gate Set
This target gate set contains S, H, CNOT, and T gates for FTQC.
Pauli Product Measurement
Maps a (Clifford + T) circuit to Pauli product rotations and measurements.
Pauliopt: Holistic circuit resynthesis using phase polynomials
A holistic approach to phase polynomial based circuit resynthesis
One-qubit Synthesis
Creates a circuit with three rotations gates from a unitary 2x2 matrix.
Loop Boundary Optimization
Optimizes redundant operations across loop iterations without unrolling.
Parity Table
The parity table is a representation for the phase polynomial.
Phase Polynomial Intermediate Representation
See a modern overview of phase polynomials and how they are utilized in various contexts in quantum compilation.
RowCol Algorithm
Maps CNOT circuits to new optimized ones under constrained connectivity.
Two-qubit Synthesis
Creates a circuit with optimal CNOT gate count from a 4x4 unitary matrix U.
ZX-Calculus Intermediate Representation
ZX-calculus is a graphical language that can represent quantum circuits.
Diagonal unitary decomposition
Recursively decompose a diagonal unitary operator.
Select-U(2) Decomposition
See how to decompose a Select-applied/multiplexed U(2) operator or Pauli rotation.
PCPhase decomposition
Decompose projector-controlled phase operators into phase shifts.
Control logic decompositions
Discover a collection of decompositions for control logic.
Lazy Select
Remove complementary control nodes of Select operators.
Parity Matrix Intermediate Representation
The parity matrix describes a circuit containing only CNOT gates.
Partial Select
Remove redundant control nodes from a partial Select operator.
PermRowCol Algorithm
Maps CNOT circuits to new optimized ones under constrained connectivity and dynamic qubit allocation.