May 5, 2004 | Matthias Christandl, Nilanjan Datta, Artur Eckert, Andrew J. Landahl
This paper presents a method for achieving perfect state transfer in quantum spin networks. The authors propose a class of qubit networks that allow perfect transfer of any quantum state in a fixed period of time without requiring qubit couplings to be switched on and off. For N-qubit spin networks with identical couplings, they show that the maximum perfect communication distance for hypercube geometries is 2 log₃N. If different but fixed couplings are allowed between qubits, perfect state transfer can be achieved over arbitrarily long distances in a linear chain.
Quantum state transfer is essential for quantum information processing systems. It can be achieved through various methods, including optical systems, quantum computing applications with trapped atoms, and collective phenomena in technologies like optical lattices and arrays of quantum dots. The authors focus on quantum channels that use collective phenomena to transfer quantum states.
The paper shows that a simple XY coupling allows perfect state transfer between antipodes of a hypercube. If the strength of couplings between qubits can be engineered, perfect state transfer can also be achieved between the two ends of a linear chain. This can be done using the Heisenberg or exchange interaction with suitable modulation of the network.
The authors demonstrate that perfect state transfer can be achieved in a linear chain of qubits with a Hamiltonian that is a modified version of the XY coupling. They show that the evolution of the chain can be described as a rotation of a fictitious spin particle, leading to perfect state transfer between the two ends of the chain in constant time.
The paper also discusses the implications of their findings for quantum communication. They show that perfect quantum state transfer between antipodal points of one-link and two-link hypercubes is possible, while perfect state transfer between antipodal points of N-link hypercubes for N ≥ 3 is impossible. The transfer time on these hypercubes is independent of their dimension. The authors conclude that their method allows for perfect state transfer over a chain of any length as long as the inter-qubit interactions can be pre-engineered. These networks are especially appealing because they require no dynamical control, unlike many other quantum communication proposals.This paper presents a method for achieving perfect state transfer in quantum spin networks. The authors propose a class of qubit networks that allow perfect transfer of any quantum state in a fixed period of time without requiring qubit couplings to be switched on and off. For N-qubit spin networks with identical couplings, they show that the maximum perfect communication distance for hypercube geometries is 2 log₃N. If different but fixed couplings are allowed between qubits, perfect state transfer can be achieved over arbitrarily long distances in a linear chain.
Quantum state transfer is essential for quantum information processing systems. It can be achieved through various methods, including optical systems, quantum computing applications with trapped atoms, and collective phenomena in technologies like optical lattices and arrays of quantum dots. The authors focus on quantum channels that use collective phenomena to transfer quantum states.
The paper shows that a simple XY coupling allows perfect state transfer between antipodes of a hypercube. If the strength of couplings between qubits can be engineered, perfect state transfer can also be achieved between the two ends of a linear chain. This can be done using the Heisenberg or exchange interaction with suitable modulation of the network.
The authors demonstrate that perfect state transfer can be achieved in a linear chain of qubits with a Hamiltonian that is a modified version of the XY coupling. They show that the evolution of the chain can be described as a rotation of a fictitious spin particle, leading to perfect state transfer between the two ends of the chain in constant time.
The paper also discusses the implications of their findings for quantum communication. They show that perfect quantum state transfer between antipodal points of one-link and two-link hypercubes is possible, while perfect state transfer between antipodal points of N-link hypercubes for N ≥ 3 is impossible. The transfer time on these hypercubes is independent of their dimension. The authors conclude that their method allows for perfect state transfer over a chain of any length as long as the inter-qubit interactions can be pre-engineered. These networks are especially appealing because they require no dynamical control, unlike many other quantum communication proposals.