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Quantum Teleportation is a Universal Computational Primitive
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We present a method to create a variety of interesting gates by teleporting quantum bits through special entangled states. This allows, for instance, the construction of a quantum computer based on just single qubit operations, Bell measurements, and GHZ states. We also present straightforward constructions of a wide variety of fault-tolerant quantum gates.
Forward citations
Cited by 9 Pith papers
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A distillation-teleportation protocol for fault-tolerant QRAM
An adaptive distillation-teleportation protocol implements a fault-tolerant QRAM query with poly(n) quantum resources and 1/poly(n) device fidelity, at the cost of an exponential classical dataset update each round.
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Genuine Multipartite Entanglement between Logical Qubits via Cross-Code Lattice Surgery
Cross-code lattice surgery between surface and 3D colour codes yields certified logical GHZ and |CCZ> GME plus arbitrary logical rotations on a trapped-ion processor.
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Finding diagonal logical gates in CSS codes and circuits
Diagonal logical gates of a CSS code or circuit are exactly the kernel of a pullback map on phase functions, and that kernel can be computed in cubic time.
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Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes
Non-Abelian surface codes based on dihedral groups D_{4N} implement transversal phase gates T^{1/N} at any Clifford-hierarchy level in 2D, with a qubit-only version when 8N is a power of two.
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A Framework for Quantum Data Center Emulation Using Digital Quantum Computers
Partitioning a single quantum processor into logical QPUs with collisional-model noise emulates a quantum data center on real hardware.
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Magic-protected entanglement and Clifford-irreducible structure in magic state space
Quantum states are classified by how much bipartite entanglement survives optimal simplification by classically easy Clifford operations, yielding a split into weakly protected T-magic and strongly protected W-magic regimes.
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Homological origin of transversal implementability of logical diagonal gates in quantum CSS codes
A homological framework identifies necessary and sufficient obstruction conditions for transversal logical diagonal gates in quantum CSS codes.
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Extremal Magic States from Symmetric Lattices
Vectors from symmetric lattices E8, BW16, and E6 map onto stabiliser and maximal-magic states, yielding explicit three-qubit and one-qutrit magic states and conjectured complete counts.
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Delay-Independent Stability of Nonlinear Delay Differential Equations via Isospectral Reduction
Claims a delay-independent global exponential stability criterion for a broad class of nonlinear nonautonomous delay differential equations using isospectral reduction of an associated sequence of matrices.
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