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Quantum Computing

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James Wootton
James Wootton
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There is an important difference between physical operations and logical operations.

Physical operations that will be slightly imperfect, performed on qubits that are also imperfect. The rate at which these can be performed depends on what physical system is being used to realize the qubits. For example, superconducting qubits can perform two qubit gates (the slowest ones) in a time on the order of 100 ns (see Nelimee's answer).

By combining many physical qubits, and doing a process with lots of physical operations, we can build logical qubits. By doing error correction, these qubits and the operations done upon them can be made arbitrarily accurate. These are the kind of operations that are required to implement quantum algorithms.

There are currently too many unknowns to give you a clock rate of logical operations. Especially since even proof-of-principle logical qubits have not yet been built (not with quantum error correction codes, at least). It depends on how imperfect the physical qubits and operations are, and so how much we need to do to clean everything up. It depends on what kind of error correcting code we use, which in turn depends on the instruction set of our quantum processors (i.e., which pairs of qubits can have a two qubit gate applied on them directly). And this depends on how much noise we are willwilling to have, because better architectures often come at the cost of noise. So there are a lot of interdependencies, and much to be resolved.

There is an important difference between physical operations and logical operations.

Physical operations that will be slightly imperfect, performed on qubits that are also imperfect. The rate at which these can be performed depends on what physical system is being used to realize the qubits. For example, superconducting qubits can perform two qubit gates (the slowest ones) in a time on the order of 100 ns (see Nelimee's answer).

By combining many physical qubits, and doing a process with lots of physical operations, we can build logical qubits. By doing error correction, these qubits and the operations done upon them can be made arbitrarily accurate. These are the kind of operations that are required to implement quantum algorithms.

There are currently too many unknowns to give you a clock rate of logical operations. It depends on how imperfect the physical qubits and operations are, and so how much we need to do to clean everything up. It depends on what kind of error correcting code we use, which in turn depends on the instruction set of our quantum processors (i.e., which pairs of qubits can have a two qubit gate applied on them directly). And this depends on how much noise we are will to have, because better architectures often come at the cost of noise. So there are a lot of interdependencies, and much to be resolved.

There is an important difference between physical operations and logical operations.

Physical operations that will be slightly imperfect, performed on qubits that are also imperfect. The rate at which these can be performed depends on what physical system is being used to realize the qubits. For example, superconducting qubits can perform two qubit gates (the slowest ones) in a time on the order of 100 ns (see Nelimee's answer).

By combining many physical qubits, and doing a process with lots of physical operations, we can build logical qubits. By doing error correction, these qubits and the operations done upon them can be made arbitrarily accurate. These are the kind of operations that are required to implement quantum algorithms.

There are currently too many unknowns to give you a clock rate of logical operations. Especially since even proof-of-principle logical qubits have not yet been built (not with quantum error correction codes, at least). It depends on how imperfect the physical qubits and operations are, and so how much we need to do to clean everything up. It depends on what kind of error correcting code we use, which in turn depends on the instruction set of our quantum processors (i.e., which pairs of qubits can have a two qubit gate applied on them directly). And this depends on how much noise we are willing to have, because better architectures often come at the cost of noise. So there are a lot of interdependencies, and much to be resolved.

Source Link
James Wootton
James Wootton
  • 11.5k
  • 1
  • 33
  • 74

There is an important difference between physical operations and logical operations.

Physical operations that will be slightly imperfect, performed on qubits that are also imperfect. The rate at which these can be performed depends on what physical system is being used to realize the qubits. For example, superconducting qubits can perform two qubit gates (the slowest ones) in a time on the order of 100 ns (see Nelimee's answer).

By combining many physical qubits, and doing a process with lots of physical operations, we can build logical qubits. By doing error correction, these qubits and the operations done upon them can be made arbitrarily accurate. These are the kind of operations that are required to implement quantum algorithms.

There are currently too many unknowns to give you a clock rate of logical operations. It depends on how imperfect the physical qubits and operations are, and so how much we need to do to clean everything up. It depends on what kind of error correcting code we use, which in turn depends on the instruction set of our quantum processors (i.e., which pairs of qubits can have a two qubit gate applied on them directly). And this depends on how much noise we are will to have, because better architectures often come at the cost of noise. So there are a lot of interdependencies, and much to be resolved.