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Deterministic construction of arbitrary $W$ states with quadratically increasing number of two-qubit gates
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abstract
We propose a quantum circuit composed of $cNOT$ gates and four single-qubit gates to generate a $W$ state of three qubits. This circuit was then enhanced by integrating two-qubit gates to create a $W$ state of four and five qubits. After a couple of enhancements, we show that an arbitrary $W$ state can be generated depending only on the degree of enhancement. The generalized formula for the number of two-qubit gates required is given, showing that an $n$-qubit $W$-state generation can be achieved with quadratically increasing number of two-qubit gates. Also, the practical feasibility is discussed regarding photon sources and various applications of $cNOT$ gates.
Forward citations
Cited by 2 Pith papers
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Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization
A new inductive method constructs constraint-preserving variational quantum circuits by iteratively applying forwarding operations to subproblem ansatzes, demonstrated on assignment, shift scheduling, and facility location.
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TensorQC: Towards Scalable Distributed Quantum Computing via Tensor Networks
TensorQC replaces the expensive 4^|E| brute-force reconstruction of circuit cutting with tensor network contraction, achieving exponential savings in classical cost and large reductions in required QPU size and quality.
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