Search Results - "Grassl, Markus"

Quantum Codes of Maximal Distance and Highly Entangled Subspaces by Huber, Felix, Grassl, Markus

“…We present new bounds on the existence of general quantum maximum distance separable codes (QMDS): the length n of all QMDS codes with local dimension D and…”
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Quantum Error-Correcting Codes for Qudit Amplitude Damping by Grassl, Markus, Kong, Linghang, Wei, Zhaohui, Yin, Zhang-Qi, Zeng, Bei

“…Traditional quantum error-correcting codes are designed for the depolarizing channel modeled by generalized Pauli errors occurring with equal probability…”
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Invariant perfect tensors by Li, Youning, Han, Muxin, Grassl, Markus, Zeng, Bei

“…Invariant tensors are states in the SU(2) tensor product representation that are invariant under SU(2) action. They play an important role in the study of loop…”
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Quantum variational learning for quantum error-correcting codes by Cao, Chenfeng, Zhang, Chao, Wu, Zipeng, Grassl, Markus, Zeng, Bei

“…Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of…”
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Convolutional and Tail-Biting Quantum Error-Correcting Codes by Forney, G.D., Grassl, M., Guha, S.

“…Rate-(n-2)/n unrestricted and CSS-type quantum convolutional codes with up to 4096 states and minimum distances up to 10 are constructed as stabilizer codes…”
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Tomography of Quantum States in Small Dimensions by Grassl, Markus

“…We consider the problem of determining the state of a finite dimensional quantum system by a finite set of different measurements in an optimal way. The…”
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New quantum codes from CSS codes by Grassl, Markus

“…We present a new propagation rule for CSS codes. Starting with a CSS code [ [ n , k , d ] ] q , we construct a CSS code with parameters [ [ n - 2 , k , d - 1 ]…”
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Comment on “An encryption protocol for NEQR images based on one-particle quantum walks on a circle” by Grassl, Markus

“…In [ 1 ], the authors propose a protocol to encrypt quantum images. Below we show that the protocol is incorrect…”
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Entropic Proofs of Singleton Bounds for Quantum Error-Correcting Codes by Grassl, Markus, Huber, Felix, Winter, Andreas

“…We show that a relatively simple reasoning using von Neumann entropy inequalities yields a robust proof of the quantum Singleton bound for quantum…”
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Experimental detection of entanglement polytopes via local filters by Zhao, Yuan-Yuan, Grassl, Markus, Zeng, Bei, Xiang, Guo-Yong, Zhang, Chao, Li, Chuan-Feng, Guo, Guang-Can

“…Quantum entanglement, resulting in correlations between subsystems that are stronger than any possible classical correlation, is one of the mysteries of…”
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Grover’s quantum search algorithm for an arbitrary initial amplitude distribution by Biham, Eli, Biham, Ofer, Biron, David, Grassl, Markus, Lidar, Daniel A.

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New self-dual additive F4-codes constructed from circulant graphs by Grassl, Markus, Harada, Masaaki

“…In order to construct quantum [[n,0,d]] codes for (n,d)=(56,15), (57,15), (58,16), (63,16), (67,17), (70,18), (71,18), (79,19), (83,20), (87,20), (89,21),…”
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Isoentangled Mutually Unbiased Bases, Symmetric Quantum Measurements, and Mixed-State Designs by Czartowski, Jakub, Goyeneche, Dardo, Grassl, Markus, Życzkowski, Karol

“…Discrete structures in Hilbert space play a crucial role in finding optimal schemes for quantum measurements. We solve the problem of whether a complete set of…”
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Residual and Destroyed Accessible Information after Measurements by Han, Rui, Leuchs, Gerd, Grassl, Markus

“…When quantum states are used to send classical information, the receiver performs a measurement on the signal states. The amount of information extracted is…”
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New self-dual additive F 4 -codes constructed from circulant graphs by Grassl, Markus, Harada, Masaaki

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New bounds for n4( k, d) and classification of some optimal codes over GF(4) by Bouyukliev, Iliya, Grassl, Markus, Varbanov, Zlatko

“…Let n 4( k, d) be the minimum length of a linear [ n, k, d] code over GF(4) for given values of k and d. For codes of dimension five, we compute the exact…”
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Constructing quantum error-correcting codes that require a variable amount of entanglement by Luo, Gaojun, Ezerman, Martianus Frederic, Grassl, Markus, Ling, San

“…In the setting of entanglement-assisted quantum error-correcting codes (EAQECCs), the sender and the receiver have access to noiseless pre-shared entanglement…”
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Equivalence of constacyclic codes with shift constants of different orders by Dastbasteh, Reza, Padashnick, Farzad, Crespo, Pedro M., Grassl, Markus, Sharafi, Javad

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Cyclic quantum error–correcting codes and quantum shift registers by Grassl, Markus, Beth, Thomas

“…We transfer the concept of linear feedback shift registers to quantum circuits. It is shown how to use these quantum linear shift registers for encoding and…”
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Testing a quantum error-correcting code on various platforms by Guo, Qihao, Zhao, Yuan-Yuan, Grassl, Markus, Nie, Xinfang, Xiang, Guo-Yong, Xin, Tao, Yin, Zhang-Qi, Zeng, Bei

“…[Display omitted] Quantum error correction plays an important role in fault-tolerant quantum information processing. It is usually difficult to experimentally…”
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