Fault tolerant quantum computing
In quantum information, fault-tolerant quantum computing (FTQC) is a regime of quantum processors that are both large-scale and that effectively incorporate quantum error correction to achieve arbitrarily low error rates (i.e.
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fundamental property required for reliable quantum computation
Fault tolerance is the overarching design principle that allows a quantum computer to perform long, complex calculations despite the inherent noise and fragility of physical qubits.
the primary obstacle to fault-tolerant operation
Decoherence is the process by which quantum systems lose their quantum properties due to interaction with the environment, necessitating the use of error correction.
the precursor era to fault-tolerant computing
NISQ devices represent the current state of quantum hardware that lacks the full fault tolerance required for large-scale, error-corrected algorithms.
the mathematical framework for most fault-tolerant codes
Stabilizer codes provide the formal structure used to define and analyze the error-correcting properties of fault-tolerant systems.
a specific implementation strategy for fault tolerance
The surface code is a prominent CSS code used to construct fault-tolerant quantum processors.
distinguishes between raw hardware and error-corrected information
Fault-tolerant computing relies on mapping multiple physical qubits into a single logical qubit to protect information.
provides the theoretical guarantee for fault-tolerant computing
The threshold theorem defines the physical error rate limits required to make fault-tolerant quantum computing possible.
the foundational technology for fault-tolerant quantum computing
Fault-tolerant quantum computing is defined by its effective implementation of quantum error correction to suppress noise.
required technique to achieve universal fault-tolerant computation
Since Clifford gates alone are not universal, magic state distillation is used to produce non-Clifford states required for universal quantum computation in a fault-tolerant manner.
essential class of operations for fault-tolerant circuits
Clifford gates are a subset of quantum gates that are relatively easy to implement fault-tolerantly, though they are not universal on their own.