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Quantum Information Meets Quantum Matter
This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We
Semi-Clifford operations, structure of C k hierarchy, and gate complexity for fault-tolerant quantum computation
Teleportation is a crucial element in fault-tolerant quantum computation and a complete understanding of its capacity is very important for the practical implementation of optimal fault-tolerant
Quantum computation based on d-level cluster state (11 pages)
TLDR
The concept of a qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state to higher-dimensional Hilbert space according to the finite-dimensional representations of quantum plane algebra and a protocol of implementing one-way quantum computer is suggested using the high-dimensional "Ising" model.
Transversality Versus Universality for Additive Quantum Codes
TLDR
It is proved that no universal set of transversal logic gates exists for GF(4)-additive quantum codes, and this result strongly supports the idea that additional quantum techniques are necessary to achieve universal fault-tolerant quantum computation on additive codes.
Graph concatenation for quantum codes
Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code and every codeword stabilized code can be described by a graph and a
Codes for simultaneous transmission of quantum and classical information
TLDR
This work constructs hybrid codes [n, k:m, d] with length n and distance d, that simultaneously transmit k qudits and m symbols from a classical alphabet of size q.
Codeword Stabilized Quantum Codes
TLDR
A unifying approach to quantum error correcting code design is presented that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters, and is used to generate new codes with superior parameters to any previously known.
Codeword Stabilized Quantum Codes
TLDR
A unifying approach to quantum error correcting code design is presented that encompasses additive (stabilizer) codes, as well as all known examples of nonadditive codes with good parameters, and is used to generate new codes with superior parameters to any previously known.
High Performance Single-Error-Correcting Quantum Codes for Amplitude Damping
TLDR
These codes are nonadditive and most modestly outperform the best possible additive codes in terms of encoded dimension and are of the codeword stabilized (CWS) type, conceptually simple encoding and decoding circuits are available.
complete characterization of the ground-space structure of two-body frustration-free hamiltonians for qubits
The problem of finding the ground state of a frustration-free Hamiltonian carrying only two-body interactions between qubits is known to be solvable in polynomial time. It is also shown recently
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