"Controlling bi-partite entanglement in multi-qubit systems" . "17"^^ . "5" . . . "1843 ; 1859" . "Novotn\u00FD, Jaroslav" . . . "Bi-partite entanglement in multi-qubit systems cannot be shared freely. The rules of quantum mechanics impose bounds on how multi-qubit systems can be correlated. In this paper, we utilize a concept of entangled graphs with weighted edges in order to analyse pure quantum states of multi-qubit systems. Here qubits are represented by vertexes of the graph, while the presence of bi-partite entanglement is represented by an edge between corresponding vertexes. The weight of each edge is defined to be the entanglement between the two qubits connected by the edge, as measured by the concurrence. We prove that each entangled graph with entanglement bounded by a specific value of the concurrence can be represented by a pure multi-qubit state. In addition, we present a logic network with O(N2) elementary gates that can be used for preparation of the weighted entangled graphs of N qubits."@en . . "Dvou\u010D\u00E1sticov\u00E9 prov\u00E1z\u00E1n\u00ED v syst\u00E9mech s v\u00EDce qubity nem\u016F\u017Ee b\u00FDt sd\u00EDleno bez omezuj\u00EDc\u00EDch pravidel. Tyto pravidla vymezuj\u00ED, jak siln\u011B mohou b\u00FDt jednotliv\u00E9 \u010D\u00E1sti syst\u00E9mu navz\u00E1jem korelov\u00E1ny. V na\u0161\u00ED pr\u00E1ci vyu\u017E\u00EDv\u00E1me k anal\u00FDze \u010Dist\u00FDch stav\u016F fyzik\u00E1ln\u00EDho syst\u00E9mu s v\u00EDce qubity my\u0161lenku prov\u00E1zan\u00FDch graf\u016F s v\u00E1hovan\u00FDmi hranami. V tomto typu graf\u016F p\u0159edstavuj\u00ED qubity vrcholy grafu, zat\u00EDmco p\u0159itomnost bipartitn\u00EDho prov\u00E1z\u00E1n\u00ED mezi dv\u011Bma qubity je reprezentov\u00E1na p\u0159\u00EDslu\u0161nou hranou mezi t\u011Bmito qubity. V\u00E1ha ka\u017Ed\u00E9 hrany je definov\u00E1na jako stupe\u0148 prov\u00E1z\u00E1n\u00ED mezi qubity, kter\u00E9 spojuje. Ukazujeme, \u017Ee libovoln\u00FD prov\u00E1zan\u00FD graf s bipartitn\u00EDm prov\u00E1z\u00E1n\u00EDm omezen\u00FDm danou konkr\u00E9tn\u00ED hodnotou lze v\u017Edy reprezentovat \u010Dist\u00FDm v\u00EDce-qubitov\u00FDm stavem. D\u00E1le pak navrhujeme logickou s\u00ED\u0165 s O(N2) element\u00E1rn\u00EDmi branami, kterou lze tyto \u010Dist\u00E9 v\u00EDce-qubitov\u00E9 stavy p\u0159ipravit."@cs . "RIV/68407700:21340/04:04103014" . "0305-4470" . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "1"^^ . . "37" . "21340" . . . "P(GA201/01/0413), Z(MSM 143300001), Z(MSM 210000018)" . "multi-qubit systemy, entanglement"@en . "4"^^ . . "Journal of Physics A: Mathematical and General" . . "Buzek, V." . "RIV/68407700:21340/04:04103014!RIV/2005/MSM/213405/N" . . "\u0158\u00EDzen\u00ED dvou\u010D\u00E1sticov\u00E9ho prov\u00E1z\u00E1n\u00ED v syst\u00E9mech s v\u00EDce qubity"@cs . "Dzurakova, Z." . "\u0158\u00EDzen\u00ED dvou\u010D\u00E1sticov\u00E9ho prov\u00E1z\u00E1n\u00ED v syst\u00E9mech s v\u00EDce qubity"@cs . "Controlling bi-partite entanglement in multi-qubit systems" . . . "[CDBBD5D4CF36]" . . "Controlling bi-partite entanglement in multi-qubit systems"@en . . "558794" . "Plesch, M." . . "Bi-partite entanglement in multi-qubit systems cannot be shared freely. The rules of quantum mechanics impose bounds on how multi-qubit systems can be correlated. In this paper, we utilize a concept of entangled graphs with weighted edges in order to analyse pure quantum states of multi-qubit systems. Here qubits are represented by vertexes of the graph, while the presence of bi-partite entanglement is represented by an edge between corresponding vertexes. The weight of each edge is defined to be the entanglement between the two qubits connected by the edge, as measured by the concurrence. We prove that each entangled graph with entanglement bounded by a specific value of the concurrence can be represented by a pure multi-qubit state. In addition, we present a logic network with O(N2) elementary gates that can be used for preparation of the weighted entangled graphs of N qubits." . "Controlling bi-partite entanglement in multi-qubit systems"@en .