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Quantum resource analysis is crucial for designing quantum circuits as wellas assessing the viability of arbitrary (error-corrected) quantum computations.To this end, we introduce QUANTIFY, which is an open-source framework for thequantitative analysis of quantum circuits. It is based on Google Cirq and isdeveloped with Clifford+T circuits in mind, and it includes the necessarymethods to handle Toffoli+H and more generalised controlled quantum gates, too.Key features of QUANTIFY include: (1) analysis and optimisation methods whichare compatible with the surface code, (2) choice between different automated(mixed polarity) Toffoli gate decompositions, (3) semi-automatic quantumcircuit rewriting and quantum gate insertion methods that take into accountknown gate commutation rules, and (4) novel optimiser types that can becombined with different verification methods (e.g. truth table or circuitinvariants like number of wires). For benchmarking purposes QUANTIFY includesquantum memory and quantum arithmetic circuits. Experimental results show thatthe framework's performance scales to circuits with thousands of qubits.

QUANTIFY: A framework for resource analysis and design verification of quantum circuits