How to construct a CCY gate in QiskitIs there a common set of modules for user-defining-quantum-gate for QISKitHow to construct a multi-qubit controlled-Z from elementary gates?How to prevent future loops using a control qubit?Why won't Qiskit ccx gate accept registers?Building an N-qubit Controlled S GateIBM Q devices scheduling of gates with different durationsHow to implement the XY Heisenberg interaction using IBMQ and Qiskit?Implementing a complex circuit for a Szegedy quantum walk in qiskitHow to do randomised benchmarking for non-Clifford gates on Qiskit?How to create an Ising coupling gate with Qiskit
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How to construct a CCY gate in Qiskit
Is there a common set of modules for user-defining-quantum-gate for QISKitHow to construct a multi-qubit controlled-Z from elementary gates?How to prevent future loops using a control qubit?Why won't Qiskit ccx gate accept registers?Building an N-qubit Controlled S GateIBM Q devices scheduling of gates with different durationsHow to implement the XY Heisenberg interaction using IBMQ and Qiskit?Implementing a complex circuit for a Szegedy quantum walk in qiskitHow to do randomised benchmarking for non-Clifford gates on Qiskit?How to create an Ising coupling gate with Qiskit
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How can one construct a CCY gate using gates which are native to Qiskit (CCX and single qubit gates). I was able to find the answer for CCZ gates, however guessing and testing until I can figure out CCY seems like a bad way to go.
quantum-gate qiskit
asked May 29 at 17:38
JeffJeff
424 bronze badges
$endgroup$
add a comment
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$begingroup$
How can one construct a CCY gate using gates which are native to Qiskit (CCX and single qubit gates). I was able to find the answer for CCZ gates, however guessing and testing until I can figure out CCY seems like a bad way to go.
quantum-gate qiskit
asked May 29 at 17:38
JeffJeff
424 bronze badges
$endgroup$
1
$begingroup$
could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51
add a comment
|
$begingroup$
How can one construct a CCY gate using gates which are native to Qiskit (CCX and single qubit gates). I was able to find the answer for CCZ gates, however guessing and testing until I can figure out CCY seems like a bad way to go.
quantum-gate qiskit
asked May 29 at 17:38
JeffJeff
424 bronze badges
$endgroup$
How can one construct a CCY gate using gates which are native to Qiskit (CCX and single qubit gates). I was able to find the answer for CCZ gates, however guessing and testing until I can figure out CCY seems like a bad way to go.
quantum-gate qiskit
quantum-gate qiskit
asked May 29 at 17:38
JeffJeff
424 bronze badges
asked May 29 at 17:38
JeffJeff
424 bronze badges
edited Jun 5 at 18:11
Jeff
asked May 29 at 17:38
JeffJeff
424 bronze badges
asked May 29 at 17:38
JeffJeff
424 bronze badges
asked May 29 at 17:38
JeffJeff
424 bronze badges
424 bronze badges
1
$begingroup$
could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51
add a comment
|
1
$begingroup$
could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51
1
1
$begingroup$
could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51
$begingroup$
could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51
add a comment
|
1 Answer
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For $mathrmCC Y$, given that you have a decomposition for $mathrmCC Z$ (or for $textrmCC X = mathrmToffoli$), all you need is the relationship between $ X$, $Y$, and $Z$:
$$ Y = R_z (-tfracpi2) X R_z (tfracpi2) = R_x (tfracpi2) Z R_x(-tfracpi2) $$
Then, given $Y = U P U^dagger$ for some $P$ for which you know a decomposition for $mathrmCC P$, simply do the analogous decomposition:
$$ mathrmCCY = (mathbf 1 otimes mathbf 1 otimes U) mathrmCC P (mathbf 1 otimes mathbf 1 otimes U)^dagger. $$
You can do this for any self-inverse unitary $V$ in place of $Y$ as well.
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
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$begingroup$
For $mathrmCC Y$, given that you have a decomposition for $mathrmCC Z$ (or for $textrmCC X = mathrmToffoli$), all you need is the relationship between $ X$, $Y$, and $Z$:
$$ Y = R_z (-tfracpi2) X R_z (tfracpi2) = R_x (tfracpi2) Z R_x(-tfracpi2) $$
Then, given $Y = U P U^dagger$ for some $P$ for which you know a decomposition for $mathrmCC P$, simply do the analogous decomposition:
$$ mathrmCCY = (mathbf 1 otimes mathbf 1 otimes U) mathrmCC P (mathbf 1 otimes mathbf 1 otimes U)^dagger. $$
You can do this for any self-inverse unitary $V$ in place of $Y$ as well.
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
$endgroup$
add a comment
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$begingroup$
For $mathrmCC Y$, given that you have a decomposition for $mathrmCC Z$ (or for $textrmCC X = mathrmToffoli$), all you need is the relationship between $ X$, $Y$, and $Z$:
$$ Y = R_z (-tfracpi2) X R_z (tfracpi2) = R_x (tfracpi2) Z R_x(-tfracpi2) $$
Then, given $Y = U P U^dagger$ for some $P$ for which you know a decomposition for $mathrmCC P$, simply do the analogous decomposition:
$$ mathrmCCY = (mathbf 1 otimes mathbf 1 otimes U) mathrmCC P (mathbf 1 otimes mathbf 1 otimes U)^dagger. $$
You can do this for any self-inverse unitary $V$ in place of $Y$ as well.
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
$endgroup$
add a comment
|
$begingroup$
For $mathrmCC Y$, given that you have a decomposition for $mathrmCC Z$ (or for $textrmCC X = mathrmToffoli$), all you need is the relationship between $ X$, $Y$, and $Z$:
$$ Y = R_z (-tfracpi2) X R_z (tfracpi2) = R_x (tfracpi2) Z R_x(-tfracpi2) $$
Then, given $Y = U P U^dagger$ for some $P$ for which you know a decomposition for $mathrmCC P$, simply do the analogous decomposition:
$$ mathrmCCY = (mathbf 1 otimes mathbf 1 otimes U) mathrmCC P (mathbf 1 otimes mathbf 1 otimes U)^dagger. $$
You can do this for any self-inverse unitary $V$ in place of $Y$ as well.
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
$endgroup$
For $mathrmCC Y$, given that you have a decomposition for $mathrmCC Z$ (or for $textrmCC X = mathrmToffoli$), all you need is the relationship between $ X$, $Y$, and $Z$:
$$ Y = R_z (-tfracpi2) X R_z (tfracpi2) = R_x (tfracpi2) Z R_x(-tfracpi2) $$
Then, given $Y = U P U^dagger$ for some $P$ for which you know a decomposition for $mathrmCC P$, simply do the analogous decomposition:
$$ mathrmCCY = (mathbf 1 otimes mathbf 1 otimes U) mathrmCC P (mathbf 1 otimes mathbf 1 otimes U)^dagger. $$
You can do this for any self-inverse unitary $V$ in place of $Y$ as well.
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
answered May 29 at 17:53
Niel de BeaudrapNiel de Beaudrap
7,6311 gold badge13 silver badges42 bronze badges
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could you list what are the gates native to Qiskit? Decomposing procedures depend on the allowed gate set. Also, are you asking "How to construct a CCY gate using gates that are native to Qiskit", or "Is there a general procedure for decomposing arbitrary unitary operations?" I would put one of these two questions in the title/body of the post, and remove the other one (on stackexchange it is encouraged to ask a single question per post)
$endgroup$
– glS
May 29 at 17:51