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package density | ||
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import ( | ||
"fmt" | ||
"math" | ||
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"github.com/itsubaki/q/math/matrix" | ||
"github.com/itsubaki/q/math/number" | ||
"github.com/itsubaki/q/quantum/gate" | ||
) | ||
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// Flip returns the flip channel. | ||
func Flip(p float64, m matrix.Matrix) (matrix.Matrix, matrix.Matrix, error) { | ||
if p < 0 || p > 1 { | ||
return nil, nil, fmt.Errorf("p must be 0 <= p =< 1. p=%v", p) | ||
} | ||
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d, _ := m.Dimension() | ||
n := number.Must(number.Log2(d)) | ||
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e0 := gate.I(n).Mul(complex(math.Sqrt(p), 0)) | ||
e1 := m.Mul(complex(math.Sqrt(1-p), 0)) | ||
return e0, e1, nil | ||
} | ||
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// BitFlip returns the bit flip channel. | ||
func BitFlip(p float64) (matrix.Matrix, matrix.Matrix, error) { | ||
return Flip(p, gate.X()) | ||
} | ||
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// PhaseFlip returns the phase flip channel. | ||
func PhaseFlip(p float64) (matrix.Matrix, matrix.Matrix, error) { | ||
return Flip(p, gate.Z()) | ||
} | ||
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// BitPhaseFlip returns the bit-phase flip channel. | ||
func BitPhaseFlip(p float64) (matrix.Matrix, matrix.Matrix, error) { | ||
return Flip(p, gate.Y()) | ||
} |
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Original file line number | Diff line number | Diff line change |
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package density_test | ||
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import ( | ||
"fmt" | ||
"testing" | ||
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"github.com/itsubaki/q/quantum/density" | ||
) | ||
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func TestFlip(t *testing.T) { | ||
cases := []struct { | ||
in float64 | ||
hasErr bool | ||
}{ | ||
{-1, true}, | ||
} | ||
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for _, c := range cases { | ||
_, _, err := density.BitPhaseFlip(c.in) | ||
if (err != nil) != c.hasErr { | ||
t.Errorf("err: %v", err) | ||
continue | ||
} | ||
} | ||
} | ||
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func ExampleBitFlip() { | ||
m0, m1, _ := density.BitFlip(0.5) | ||
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for _, r := range m0 { | ||
fmt.Println(r) | ||
} | ||
fmt.Println() | ||
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for _, r := range m1 { | ||
fmt.Println(r) | ||
} | ||
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// Output: | ||
// [(0.7071067811865476+0i) (0+0i)] | ||
// [(0+0i) (0.7071067811865476+0i)] | ||
// | ||
// [(0+0i) (0.7071067811865476+0i)] | ||
// [(0.7071067811865476+0i) (0+0i)] | ||
} | ||
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func ExamplePhaseFlip() { | ||
m0, m1, _ := density.PhaseFlip(0.5) | ||
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for _, r := range m0 { | ||
fmt.Println(r) | ||
} | ||
fmt.Println() | ||
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for _, r := range m1 { | ||
fmt.Println(r) | ||
} | ||
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// Output: | ||
// [(0.7071067811865476+0i) (0+0i)] | ||
// [(0+0i) (0.7071067811865476+0i)] | ||
// | ||
// [(0.7071067811865476+0i) (0+0i)] | ||
// [(0+0i) (-0.7071067811865476+0i)] | ||
} | ||
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func ExampleBitPhaseFlip() { | ||
m0, m1, _ := density.BitPhaseFlip(0.5) | ||
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for _, r := range m0 { | ||
fmt.Println(r) | ||
} | ||
fmt.Println() | ||
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for _, r := range m1 { | ||
fmt.Println(r) | ||
} | ||
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// Output: | ||
// [(0.7071067811865476+0i) (0+0i)] | ||
// [(0+0i) (0.7071067811865476+0i)] | ||
// | ||
// [(0+0i) (0-0.7071067811865476i)] | ||
// [(0+0.7071067811865476i) (0+0i)] | ||
} |
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