We are currently solving the following issue within our repository. Here is the issue text:
--- BEGIN ISSUE ---
assemble.py _expand_parameters(circuits, run_config) apparently broken
<!-- ⚠️ If you do not respect this template, your issue will be closed -->
<!-- ⚠️ Make sure to browse the opened and closed issues -->

### Information

- **Qiskit Terra version**: master
- **Python version**: 3.6.8
- **Operating system**: Linux

### What is the current behavior?
`Parameter` binding does not succeed as reported by user `@Adrian Auer` in Qiskit Slack.

### Steps to reproduce the problem

```
from qiskit import Aer, QuantumCircuit, QuantumRegister, execute
from qiskit.circuit import Parameter

# create m = 2 circuits
qr = QuantumRegister(1)
quantum_circuit_1 = QuantumCircuit(qr)
quantum_circuit_2 = QuantumCircuit(qr)

theta = Parameter('theta')

# add parametrized gates
quantum_circuit_1.u3(theta, 0, 0, qr[0])
quantum_circuit_2.u3(theta, 3.14, 0, qr[0])

circuits = [quantum_circuit_1, quantum_circuit_2]

# inspect parameters property
for circuit in circuits:
    print(circuit.parameters)

# bind parameter to n = 1 values
job = execute(circuits,
              Aer.get_backend('qasm_simulator'),
              shots=512,
              parameter_binds=[{theta: 1}])
```
Result is error:
```
Traceback (most recent call last):
  File "adrian_auer_example.py", line 25, in <module>
    parameter_binds=[{theta: 1}])
  File "/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/execute.py", line 218, in execute
    run_config=run_config
  File "/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/compiler/assemble.py", line 149, in assemble
    run_config=run_config)
  File "/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/compiler/assemble.py", line 298, in _expand_parameters
    'Circuit parameters: {}').format(all_bind_parameters, all_circuit_parameters))
qiskit.exceptions.QiskitError: 'Mismatch between run_config.parameter_binds and all circuit parameters. Parameter binds: [dict_keys([Parameter(theta)])] Circuit parameters: [{Parameter(theta)}, {Parameter(theta)}]'
```
### What is the expected behavior?
Parameter would bind and circuits would execute.


### Suggested solutions
In `qiskit/compiler/assembly.py:_expand_parameters` lines 293-294 both of the following tests are failing:
```
or any(unique_parameters != bind_params for bind_params in all_bind_parameters) \
           or any(unique_parameters != parameters for parameters in all_circuit_parameters):
```
It appears to be because `unique_parameters` is a `list` of `Parameter` each of which is being compared to the elements of a list of dictionaries.
The comparison should be re-examined so that types match up.



--- END ISSUE ---

Below are some code segments, each from a relevant file. One or more of these files may contain bugs.
--- BEGIN FILES ---
Path: `qiskit/circuit/parameter.py`
Content:
```
1 # -*- coding: utf-8 -*-
2 
3 # This code is part of Qiskit.
4 #
5 # (C) Copyright IBM 2017, 2019.
6 #
7 # This code is licensed under the Apache License, Version 2.0. You may
8 # obtain a copy of this license in the LICENSE.txt file in the root directory
9 # of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
10 #
11 # Any modifications or derivative works of this code must retain this
12 # copyright notice, and modified files need to carry a notice indicating
13 # that they have been altered from the originals.
14 """
15 Parameter Class for variable parameters.
16 """
17 
18 import sympy
19 
20 from .parameterexpression import ParameterExpression
21 
22 
23 class Parameter(ParameterExpression):
24     """Parameter Class for variable parameters"""
25     def __init__(self, name):
26         self._name = name
27 
28         symbol = sympy.Symbol(name)
29         super().__init__(symbol_map={self: symbol}, expr=symbol)
30 
31     def subs(self, parameter_map):
32         """Substitute self with the corresponding parameter in parameter_map."""
33         return parameter_map[self]
34 
35     @property
36     def name(self):
37         """Returns the name of the Parameter."""
38         return self._name
39 
40     def __str__(self):
41         return self.name
42 
43     def __copy__(self):
44         return self
45 
46     def __deepcopy__(self, memo=None):
47         return self
48 
49     def __repr__(self):
50         return '{}({})'.format(self.__class__.__name__, self.name)
51
```
--- END FILES ---

Please first localize the bug based on the issue statement, and then generate a patch according to the `git diff` format fenced by three backticks.

Here is an example:

```diff
diff --git a/examples/server_async.py b/examples/server_async.py
--- a/examples/server_async.py
+++ b/examples/server_async.py
@@ -313,4 +313,4 @@
 
 
 if __name__ == "__main__":
-    asyncio.run(run_async_server("."), debug=True)
+    asyncio.run(run_async_server(), debug=True)
diff --git a/examples/server_sync.py b/examples/server_sync.py
--- a/examples/server_sync.py
+++ b/examples/server_sync.py
@@ -313,5 +313,5 @@
 
 
 if __name__ == "__main__":
-    server = run_sync_server(".")
+    server = run_sync_server()
     server.shutdown()

```

diff --git a/qiskit/circuit/parameter.py b/qiskit/circuit/parameter.py
--- a/qiskit/circuit/parameter.py
+++ b/qiskit/circuit/parameter.py
@@ -15,6 +15,8 @@
 Parameter Class for variable parameters.
 """
 
+from uuid import uuid4
+
 import sympy
 
 from .parameterexpression import ParameterExpression
@@ -22,6 +24,27 @@
 
 class Parameter(ParameterExpression):
     """Parameter Class for variable parameters"""
+
+    def __new__(cls, _, uuid=None):
+        # Parameter relies on self._uuid being set prior to other attributes
+        # (e.g. symbol_map) which may depend on self._uuid for Parameter's hash
+        # or __eq__ functions.
+
+        obj = object.__new__(cls)
+
+        if uuid is None:
+            obj._uuid = uuid4()
+        else:
+            obj._uuid = uuid
+
+        return obj
+
+    def __getnewargs__(self):
+        # Unpickling won't in general call __init__ but will always call
+        # __new__. Specify arguments to be passed to __new__ when unpickling.
+
+        return (self.name, self._uuid)
+
     def __init__(self, name):
         self._name = name
 
@@ -48,3 +71,9 @@
 
     def __repr__(self):
         return '{}({})'.format(self.__class__.__name__, self.name)
+
+    def __eq__(self, other):
+        return isinstance(other, Parameter) and self._uuid == other._uuid
+
+    def __hash__(self):
+        return hash(self._uuid)

{"golden_diff": "diff --git a/qiskit/circuit/parameter.py b/qiskit/circuit/parameter.py\n--- a/qiskit/circuit/parameter.py\n+++ b/qiskit/circuit/parameter.py\n@@ -15,6 +15,8 @@\n Parameter Class for variable parameters.\n \"\"\"\n \n+from uuid import uuid4\n+\n import sympy\n \n from .parameterexpression import ParameterExpression\n@@ -22,6 +24,27 @@\n \n class Parameter(ParameterExpression):\n     \"\"\"Parameter Class for variable parameters\"\"\"\n+\n+    def __new__(cls, _, uuid=None):\n+        # Parameter relies on self._uuid being set prior to other attributes\n+        # (e.g. symbol_map) which may depend on self._uuid for Parameter's hash\n+        # or __eq__ functions.\n+\n+        obj = object.__new__(cls)\n+\n+        if uuid is None:\n+            obj._uuid = uuid4()\n+        else:\n+            obj._uuid = uuid\n+\n+        return obj\n+\n+    def __getnewargs__(self):\n+        # Unpickling won't in general call __init__ but will always call\n+        # __new__. Specify arguments to be passed to __new__ when unpickling.\n+\n+        return (self.name, self._uuid)\n+\n     def __init__(self, name):\n         self._name = name\n \n@@ -48,3 +71,9 @@\n \n     def __repr__(self):\n         return '{}({})'.format(self.__class__.__name__, self.name)\n+\n+    def __eq__(self, other):\n+        return isinstance(other, Parameter) and self._uuid == other._uuid\n+\n+    def __hash__(self):\n+        return hash(self._uuid)\n", "issue": "assemble.py _expand_parameters(circuits, run_config) apparently broken\n<!-- \u26a0\ufe0f If you do not respect this template, your issue will be closed -->\r\n<!-- \u26a0\ufe0f Make sure to browse the opened and closed issues -->\r\n\r\n### Information\r\n\r\n- **Qiskit Terra version**: master\r\n- **Python version**: 3.6.8\r\n- **Operating system**: Linux\r\n\r\n### What is the current behavior?\r\n`Parameter` binding does not succeed as reported by user `@Adrian Auer` in Qiskit Slack.\r\n\r\n### Steps to reproduce the problem\r\n\r\n```\r\nfrom qiskit import Aer, QuantumCircuit, QuantumRegister, execute\r\nfrom qiskit.circuit import Parameter\r\n\r\n# create m = 2 circuits\r\nqr = QuantumRegister(1)\r\nquantum_circuit_1 = QuantumCircuit(qr)\r\nquantum_circuit_2 = QuantumCircuit(qr)\r\n\r\ntheta = Parameter('theta')\r\n\r\n# add parametrized gates\r\nquantum_circuit_1.u3(theta, 0, 0, qr[0])\r\nquantum_circuit_2.u3(theta, 3.14, 0, qr[0])\r\n\r\ncircuits = [quantum_circuit_1, quantum_circuit_2]\r\n\r\n# inspect parameters property\r\nfor circuit in circuits:\r\n    print(circuit.parameters)\r\n\r\n# bind parameter to n = 1 values\r\njob = execute(circuits,\r\n              Aer.get_backend('qasm_simulator'),\r\n              shots=512,\r\n              parameter_binds=[{theta: 1}])\r\n```\r\nResult is error:\r\n```\r\nTraceback (most recent call last):\r\n  File \"adrian_auer_example.py\", line 25, in <module>\r\n    parameter_binds=[{theta: 1}])\r\n  File \"/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/execute.py\", line 218, in execute\r\n    run_config=run_config\r\n  File \"/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/compiler/assemble.py\", line 149, in assemble\r\n    run_config=run_config)\r\n  File \"/home/jax/work/QISKit/DEV/qiskit-terra/qiskit/compiler/assemble.py\", line 298, in _expand_parameters\r\n    'Circuit parameters: {}').format(all_bind_parameters, all_circuit_parameters))\r\nqiskit.exceptions.QiskitError: 'Mismatch between run_config.parameter_binds and all circuit parameters. Parameter binds: [dict_keys([Parameter(theta)])] Circuit parameters: [{Parameter(theta)}, {Parameter(theta)}]'\r\n```\r\n### What is the expected behavior?\r\nParameter would bind and circuits would execute.\r\n\r\n\r\n### Suggested solutions\r\nIn `qiskit/compiler/assembly.py:_expand_parameters` lines 293-294 both of the following tests are failing:\r\n```\r\nor any(unique_parameters != bind_params for bind_params in all_bind_parameters) \\\r\n           or any(unique_parameters != parameters for parameters in all_circuit_parameters):\r\n```\r\nIt appears to be because `unique_parameters` is a `list` of `Parameter` each of which is being compared to the elements of a list of dictionaries.\r\nThe comparison should be re-examined so that types match up.\r\n\r\n\n", "before_files": [{"content": "# -*- coding: utf-8 -*-\n\n# This code is part of Qiskit.\n#\n# (C) Copyright IBM 2017, 2019.\n#\n# This code is licensed under the Apache License, Version 2.0. You may\n# obtain a copy of this license in the LICENSE.txt file in the root directory\n# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.\n#\n# Any modifications or derivative works of this code must retain this\n# copyright notice, and modified files need to carry a notice indicating\n# that they have been altered from the originals.\n\"\"\"\nParameter Class for variable parameters.\n\"\"\"\n\nimport sympy\n\nfrom .parameterexpression import ParameterExpression\n\n\nclass Parameter(ParameterExpression):\n    \"\"\"Parameter Class for variable parameters\"\"\"\n    def __init__(self, name):\n        self._name = name\n\n        symbol = sympy.Symbol(name)\n        super().__init__(symbol_map={self: symbol}, expr=symbol)\n\n    def subs(self, parameter_map):\n        \"\"\"Substitute self with the corresponding parameter in parameter_map.\"\"\"\n        return parameter_map[self]\n\n    @property\n    def name(self):\n        \"\"\"Returns the name of the Parameter.\"\"\"\n        return self._name\n\n    def __str__(self):\n        return self.name\n\n    def __copy__(self):\n        return self\n\n    def __deepcopy__(self, memo=None):\n        return self\n\n    def __repr__(self):\n        return '{}({})'.format(self.__class__.__name__, self.name)\n", "path": "qiskit/circuit/parameter.py"}], "after_files": [{"content": "# -*- coding: utf-8 -*-\n\n# This code is part of Qiskit.\n#\n# (C) Copyright IBM 2017, 2019.\n#\n# This code is licensed under the Apache License, Version 2.0. You may\n# obtain a copy of this license in the LICENSE.txt file in the root directory\n# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.\n#\n# Any modifications or derivative works of this code must retain this\n# copyright notice, and modified files need to carry a notice indicating\n# that they have been altered from the originals.\n\"\"\"\nParameter Class for variable parameters.\n\"\"\"\n\nfrom uuid import uuid4\n\nimport sympy\n\nfrom .parameterexpression import ParameterExpression\n\n\nclass Parameter(ParameterExpression):\n    \"\"\"Parameter Class for variable parameters\"\"\"\n\n    def __new__(cls, _, uuid=None):\n        # Parameter relies on self._uuid being set prior to other attributes\n        # (e.g. symbol_map) which may depend on self._uuid for Parameter's hash\n        # or __eq__ functions.\n\n        obj = object.__new__(cls)\n\n        if uuid is None:\n            obj._uuid = uuid4()\n        else:\n            obj._uuid = uuid\n\n        return obj\n\n    def __getnewargs__(self):\n        # Unpickling won't in general call __init__ but will always call\n        # __new__. Specify arguments to be passed to __new__ when unpickling.\n\n        return (self.name, self._uuid)\n\n    def __init__(self, name):\n        self._name = name\n\n        symbol = sympy.Symbol(name)\n        super().__init__(symbol_map={self: symbol}, expr=symbol)\n\n    def subs(self, parameter_map):\n        \"\"\"Substitute self with the corresponding parameter in parameter_map.\"\"\"\n        return parameter_map[self]\n\n    @property\n    def name(self):\n        \"\"\"Returns the name of the Parameter.\"\"\"\n        return self._name\n\n    def __str__(self):\n        return self.name\n\n    def __copy__(self):\n        return self\n\n    def __deepcopy__(self, memo=None):\n        return self\n\n    def __repr__(self):\n        return '{}({})'.format(self.__class__.__name__, self.name)\n\n    def __eq__(self, other):\n        return isinstance(other, Parameter) and self._uuid == other._uuid\n\n    def __hash__(self):\n        return hash(self._uuid)\n", "path": "qiskit/circuit/parameter.py"}]}