MQT Bench: Level Description and File Format

Benchmarks are provided on four different abstraction levels:

• Algorithmic Level: Circuits are described in a textbook-like fashion using high-level constructs.
• Target-Independent Level: Circuits are unfolded and unrolled representations of the circuits from the algorithmic level.
• Target-dependent Native Gates Level: Circuits are synthesized to a particular native gate-set.
• Target-dependent Mapped Level: Circuits are mapped to a particular architecture.

Used File Format:

• Until openQASM 3.0 is widely supported, all circuits (except those on the algorithmic level) are provided as .qasm files following the openQASM 2.0 standard. Circuits on the algorithmic level can directly be generated (as IBM Qiskit QuantumCircuit objects) using the mqt.bench python package. More details on openQASM 2.0 can be found here, and on openQASM 3.0 here.
• Not every benchmark is necessarily available for every possible configuration of the available options. For example, not all qubit counts in a given range might be available for a selected benchmark.
• Mapped benchmarks are only available up to the biggest available architecture. That is, for IBM (for Rigetti) mapped benchmarks are available only for instances with up to 127 qubits (80 qubits).
• Since the .zip file may be composed of numerous files (currently, we offer more than 30.000 benchmark circuits), the following naming convention is used for the respective files:

Level Descriptions

Level	Filename	Example
Algorithmic Level	For this level, dedicated .qasm files cannot be provided yet, since openQASM 2.0 supports only a set of quantum gates. Thus, we provide those benchmarks using our pypi package which is accessible via pip.	Python Qiskit::QuantumCircuit Object
Target-independent Level	<benchmark_identifier>_indep_<compiler>_<number_of_qubits>.qasm	qft_indep_tket_5.qasm
Target-dependent Native Gates Level	<benchmark_identifier>_nativegates_<native_gate_set>_<compiler>_<optional: compiler settings>_<number_of_qubits>.qasm	qft_nativegates_ibm_qiskit_opt3_5.qasm
Target-dependent Mapped Level	<benchmark_identifier>_mapped_<device>_<compiler>_<compiler settings>_<number_of_qubits>.qasm	qft_nativegates_rigetti_aspen_m1_qiskit_opt3_5.qasm