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Correcting Quantum Errors with Entanglement
TLDR
We show how entanglement shared between encoder and decoder can simplify the theory of quantum error correction, allowing us to “quantize” all of classical linear coding theory. Expand
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Entanglement-Assisted Communication of Classical and Quantum Information
TLDR
In this paper, we consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum (EAQ) channel. Expand
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Catalytic Quantum Error Correction
TLDR
We develop the theory of entanglement-assisted quantum error-correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to preshared entanglements. Expand
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Channel Simulation and Coded Source Compression
TLDR
We study quantum coded source compression in the fully quantum regime, where two different scenarios are considered depending on the types of communication channels between the legitimate source and the receiver. Expand
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Entanglement-Assisted Capacity of Quantum Multiple-Access Channels
TLDR
We find a regularized formula for the entanglement-assisted (EA) capacity region for quantum multiple-access channels (QMAC). Expand
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High Performance Entanglement-Assisted Quantum LDPC Codes Need Little Entanglement
TLDR
We construct families of EAQECCs from finite geometries and show that the block error probability performance of these codes is relatively better than those proposed in the literature so far. Expand
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Entanglement-Assisted Quantum Turbo Codes
TLDR
An unexpected breakdown in the existing theory of quantum serial turbo coding is that a quantum convolutional encoder cannot simultaneously be recursive and non-catastrophic. Expand
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The Expressive Power of Parameterized Quantum Circuits
TLDR
In this paper, we prove that PQCs with a simple structure already outperform any classical neural network for generative tasks, unless the polynomial hierarchy collapses. Expand
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Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
TLDR
In this paper, we give tradeoffs between classical communication, quantum communication, and entanglement for processing information in the Shannon-theoretic setting. Expand
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Relating the Resource Theories of Entanglement and Quantum Coherence.
TLDR
We unify the resource theories of entanglement and coherence by studying their combined behavior in the operational setting of local incoherent operations and classical communication (LIOCC). Expand
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