Quantum Transfer Entropy Between Subsystems
Transfer entropy measures directed information flow between systems. How a quantum version is defined and its uses in communication and networks.
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Tagged: Stabilizer Codes
19 articles
The Quantum Hamming Bound on Code Parameters
The quantum Hamming bound limits the parameters of non-degenerate quantum codes. Its derivation, examples and implications for code design.
Quantum Error-Correcting Codes: A Catalogue
A catalogue of quantum error-correcting codes: principles, types, detection and correction mechanisms, implementation challenges and uses.
Quantum Coding Theory: Protecting Quantum Information
Quantum coding theory protects quantum information against noise. How quantum codes differ from classical codes, main families and uses.
Quantum Error Detection: Knowing Without Fixing
Quantum error detection flags errors without correcting them. Syndrome measurement, detection codes and their role in fault-tolerant systems.
Quantum Stabilizer Code Families, Compared
The main families of stabilizer codes compared: history, properties, encoding, recovery, fault tolerance, applications and limitations.
Fault-Tolerant Quantum Computing: The Threshold
Fault-tolerant quantum computing and the threshold theorem: how codes, syndrome measurement and careful circuits keep errors from spreading.
Quantum LDPC Codes in Practice: Decoders and Layouts
How quantum LDPC codes are decoded and laid out in hardware, their performance compared with classical LDPC codes, and current research.
Quantum Product Codes: Building Big Codes From Small
Quantum product codes combine smaller codes into larger ones. Their structure, encoding, decoding, performance and place among other codes.
The Gottesman-Knill Theorem and Simulable Circuits
The Gottesman-Knill theorem shows that Clifford circuits can be simulated efficiently on classical computers, and why stabilizer codes rely on it.
Quantum Convolutional Codes for Streaming Qubits
Quantum convolutional codes protect a continuous stream of qubits. Their history, encoding and decoding, performance and comparison with block codes.
Subsystem Stabilizer Codes: Gauge Qubits Explained
Subsystem stabilizer codes add gauge qubits that do not store data, which simplifies measurements. Their structure and uses in fault tolerance.
