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algorithms/quantum_primitives/hadamard_test/hadamard_test.ipynb

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"The Hadamard test [[1](#childs)] is a widely-used [[2](#Article_1),[3](#Article_2)] quantum primitive that provides an elegant method to compute the real part of an expectation value of a given unitary for some target state. Many problems require evaluating the expectation value of a unitary operator for a prepared state, and the Hadamard test offers an intuitive alternative to the traditional methods of decomposing the unitary into Pauli strings and measuring each non-commutative string independently.\n",
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"The Hadamard test is a special case of the [linear combination of unitaries](https://github.com/Classiq/classiq-library/blob/main/tutorials/basic_tutorials/quantum_primitives/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb) (LCU) primitive. The [SWAP test](https://docs.classiq.io/latest/explore/algorithms/swap_test/swap_test/), another special case of the LCU, may be viewed as a variation of the Hadamard test.\n",
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"The Hadamard test is a special case of the [linear combination of unitaries](https://github.com/Classiq/classiq-library/blob/main/tutorials/basic_tutorials/quantum_primitives/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb) (LCU) primitive. The [SWAP test](https://github.com/Classiq/classiq-library/blob/main/algorithms/quantum_primitives/swap_test/swap_test.ipynb), another special case of the LCU, may be viewed as a variation of the Hadamard test.\n",
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tutorials/basic_tutorials/quantum_primitives/hadamard_test_tutorial/hadamard_test_tutorial.ipynb

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"The Hadamard test [[1](#childs)] is a widely-used [[2](#Article_1),[3](#Article_2)] quantum primitive that provides an elegant method to compute the real part of an expectation value of a given unitary for some target state. Many problems require evaluating the expectation value of a unitary operator for a prepared state, and the Hadamard test offers an intuitive alternative to the traditional methods of decomposing the unitary into Pauli strings and measuring each non-commutative string independently.\n",
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"The Hadamard test is a special case of the [linear combination of unitaries](https://github.com/Classiq/classiq-library/blob/main/tutorials/basic_tutorials/quantum_primitives/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb) (LCU) primitive, which is covered in a separate section. The [SWAP test](https://docs.classiq.io/latest/explore/algorithms/swap_test/swap_test/), another special case of the LCU, may be viewed as a variation of the Hadamard test.\n",
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"The Hadamard test is a special case of the [linear combination of unitaries](https://github.com/Classiq/classiq-library/blob/main/tutorials/basic_tutorials/quantum_primitives/linear_combination_of_unitaries/linear_combination_of_unitaries.ipynb) (LCU) primitive, which is covered in a separate section. The [SWAP test](https://github.com/Classiq/classiq-library/blob/main/algorithms/quantum_primitives/swap_test/swap_test.ipynb), another special case of the LCU, may be viewed as a variation of the Hadamard test.\n",
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