Gate fidelity matters. It matters a great deal. But it is not a complete score for a quantum computer.
Not a single number
There is no single gate-fidelity number for a whole machine. A company may report the fidelity of a single-qubit gateAn operation that acts on just one qubit. Generally easier to perform accurately than a two-qubit gate., a two-qubit gateA gate that acts on two qubits at once, such as the CNOT. Much harder to perform accurately than a single-qubit gate, and the real test of a machine., its best-performing qubitThe basic unit of a quantum computer. Like a 'bit' in a normal computer, but instead of being only 0 or 1 it can be 0, 1, or a blend of both at once. pair, an average taken across a processor, or an operation tested under carefully controlled laboratory conditions. These are not the same claim, and they should not be read as if they were.
The way the number was measured matters too.
How the number gets made
One common approach is called randomized benchmarkingA standard way to measure gate error by running random gate sequences and watching how fast the results decay.. Researchers apply carefully chosen random sequences of gates that should, in principle, return the qubit to a known final state. They then watch how quickly the results fall apart as the sequences grow longer. The faster the decay, the higher the inferred error rate.
A related method, interleaved randomized benchmarkingA version of randomized benchmarking that isolates the error of one specific gate by repeatedly inserting it into random sequences., estimates the error of one particular gate by inserting that gate into the sequence over and over and seeing what it costs.
A fidelity figure is not just a property of the hardware. It is the product of a measurement protocol, run under specific conditions.
Figure 1: One headline number, many hidden questions. Before trusting a gate-fidelity claim, work around the dial: which gate, measured how, best case or average, alone or in parallel, native or compiled, and remember a machine is more than one number.
Questions I bring to a claim
When I read a fidelity claim, here is what I want to know.
Question
Why it matters
Is this a single-qubit or two-qubit gate?
Two-qubit gates are usually the harder and more consequential test.
Is this a physical gate or a logical gate?
A logical operation may sit on top of error correction and many physical qubits underneath.
Is this an average, a median, or the best-performing result?
One excellent qubit pair does not prove the whole processor performs as well.
Was the gate tested alone, or while other gates ran in parallel?
Crosstalk may appear, or become more consequential, when several gates run in parallel.
Is this a native operation or a compiled circuit?
A useful algorithm may need several physical gates to carry out one abstract instruction.
How fast and stable is the gate?
A slow gate, or one that needs constant recalibration, can become its own bottleneck.
How was the fidelity measured?
Different benchmarking protocols may summarize different aspects of performance.